Intermediate Algebra
19th Edition
ISBN: 9780998625720
Author: Lynn Marecek
Publisher: OpenStax College
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Textbook Question
Chapter 10.4, Problem 252E
In the following exercises, use the Properties of Logarithms to expand the logarithm. Simplify if possible.
252.
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Chapter 10 Solutions
Intermediate Algebra
Ch. 10.1 - For functions f(x)=3x2 g(x)=5x+1, find (a) (fg)(x)...Ch. 10.1 - For functions f(x)=4x3, and g(x)=6x5, find (a)...Ch. 10.1 - For function f(x)=x29, and g(x)=2x+5, find (a)...Ch. 10.1 - For function f(x)=x2+1, and g(x)=3x5, find (a)...Ch. 10.1 - For each set of ordered pairs, determine if it...Ch. 10.1 - For each set of ordered pairs, determine if it...Ch. 10.1 - Determine (a) whether each graph is the graph of a...Ch. 10.1 - Determine (a) whether each graph is the graph of a...Ch. 10.1 - Find the inverse of {(0,4),(1,7),(2,10),(3,13)}....Ch. 10.1 - Find the inverse of {(1,4),(2,1),(3,0),(4,2)}....
Ch. 10.1 - Graph, on the same coordinate system, the inverse...Ch. 10.1 - Graph, on the same coordinate system, the inverse...Ch. 10.1 - Verify the functions are inverse functions....Ch. 10.1 - Verify the functions are inverse functions....Ch. 10.1 - Verify the inverse of the function f(x)=5x3.Ch. 10.1 - Verify the inverse of the function f(x)=8x+5.Ch. 10.1 - Verify the inverse of the function f(x)=3x25.Ch. 10.1 - Verify the inverse of the function f(x)=6x74.Ch. 10.1 - In the following exercises, find (a) (fg)(x), (b)...Ch. 10.1 - In the following exercises, find (a) (fg)(x), (b)...Ch. 10.1 - In the following exercises, find (a) (fg)(x), (b)...Ch. 10.1 - In the following exercises, find (a) (fg)(x), (b)...Ch. 10.1 - In the following exercises, find (a) (fg)(x), (b)...Ch. 10.1 - In the following exercises, find (a) (fg)(x), (b)...Ch. 10.1 - In the following exercises, find (a) (fg)(x), (b)...Ch. 10.1 - In the following exercises, find (a) (fg)(x), (b)...Ch. 10.1 - In the following exercises, find the values...Ch. 10.1 - In the following exercises, find the values...Ch. 10.1 - In the following exercises, find the values...Ch. 10.1 - In the following exercises, find the values...Ch. 10.1 - In the following exercises, determine if the set...Ch. 10.1 - In the following exercises, determine if the set...Ch. 10.1 - In the following exercises, determine if the set...Ch. 10.1 - In the following exercises, determine if the set...Ch. 10.1 - In the following exercises, determine whether each...Ch. 10.1 - In the following exercises, determine whether each...Ch. 10.1 - In the following exercises, determine whether each...Ch. 10.1 - In the following exercises, determine whether each...Ch. 10.1 - In the following exercises, find the inverse of...Ch. 10.1 - In the following exercises, find the inverse of...Ch. 10.1 - In the following exercises, find the inverse of...Ch. 10.1 - In the following exercises, find the inverse of...Ch. 10.1 - In the following exercises, find the inverse of...Ch. 10.1 - In the following exercises, find the inverse of...Ch. 10.1 - In the following exercises, graph on the same...Ch. 10.1 - In the following exercises, graph on the same...Ch. 10.1 - In the following exercises, graph on the same...Ch. 10.1 - In the following exercises, graph on the same...Ch. 10.1 - In the following exercises, determine whether or...Ch. 10.1 - In the following exercises, determine whether or...Ch. 10.1 - In the following exercises, determine whether or...Ch. 10.1 - In the following exercises, determine whether or...Ch. 10.1 - In the following exercises, determine whether or...Ch. 10.1 - In the following exercises, determine whether or...Ch. 10.1 - In the following exercises, determine whether or...Ch. 10.1 - In the following exercises, determine whether or...Ch. 10.1 - In the following exercises, find the inverse of...Ch. 10.1 - In the following exercises, find the inverse of...Ch. 10.1 - In the following exercises, find the inverse of...Ch. 10.1 - In the following exercises, find the inverse of...Ch. 10.1 - In the following exercises, find the inverse of...Ch. 10.1 - In the following exercises, find the inverse of...Ch. 10.1 - In the following exercises, find the inverse of...Ch. 10.1 - In the following exercises, find the inverse of...Ch. 10.1 - In the following exercises, find the inverse of...Ch. 10.1 - In the following exercises, find the inverse of...Ch. 10.1 - In the following exercises, find the inverse of...Ch. 10.1 - In the following exercises, find the inverse of...Ch. 10.1 - In the following exercises, find the inverse of...Ch. 10.1 - In the following exercises, find the inverse of...Ch. 10.1 - In the following exercises, find the inverse of...Ch. 10.1 - In the following exercises, find the inverse of...Ch. 10.1 - In the following exercises, find the inverse of...Ch. 10.1 - In the following exercises, find the inverse of...Ch. 10.1 - In the following exercises, find the inverse of...Ch. 10.1 - In the following exercises, find the inverse of...Ch. 10.1 - In the following exercises, find the inverse of...Ch. 10.1 - In the following exercises, find the inverse of...Ch. 10.1 - In the following exercises, find the inverse of...Ch. 10.1 - In the following exercises, find the inverse of...Ch. 10.1 - Explain how the graph of the inverse of a function...Ch. 10.1 - Explain how to find the inverse of a function from...Ch. 10.2 - Graph: f(x)=4x.Ch. 10.2 - Graph: g(x)=5x.Ch. 10.2 - Graph: f(x)=(14)x.Ch. 10.2 - Graph: g(x)=(15)x.Ch. 10.2 - On the same coordinate system, graph: f(x)=2x and...Ch. 10.2 - On the same coordinate system, graph: f(x)=3x and...Ch. 10.2 - On the same coordinate system, graph: f(x)=3x and...Ch. 10.2 - On the same coordinate system, graph: f(x)=4x and...Ch. 10.2 - Solve: 33x2=81.Ch. 10.2 - Solve: 7x3=7.Ch. 10.2 - Solve: ex2ex=e2.Ch. 10.2 - Solve: ex2ex=e6.Ch. 10.2 - Angela invested $15,000 in a savings account. If...Ch. 10.2 - Allan invested $10,000 in a mutual fund. If the...Ch. 10.2 - Another researcher at the Center for Disease...Ch. 10.2 - Maria, a biologist is observing the growth pattern...Ch. 10.2 - In the following exercises, graph each exponential...Ch. 10.2 - In the following exercises, graph each exponential...Ch. 10.2 - In the following exercises, graph each exponential...Ch. 10.2 - In the following exercises, graph each exponential...Ch. 10.2 - In the following exercises, graph each exponential...Ch. 10.2 - In the following exercises, graph each exponential...Ch. 10.2 - In the following exercises, graph each exponential...Ch. 10.2 - In the following exercises, graph each exponential...Ch. 10.2 - In the following exercises, graph each exponential...Ch. 10.2 - In the following exercises, graph each exponential...Ch. 10.2 - In the following exercises, graph each exponential...Ch. 10.2 - In the following exercises, graph each exponential...Ch. 10.2 - In the following exercises, graph each function in...Ch. 10.2 - In the following exercises, graph each function in...Ch. 10.2 - In the following exercises, graph each function in...Ch. 10.2 - In the following exercises, graph each function in...Ch. 10.2 - In the following exercises, graph each function in...Ch. 10.2 - In the following exercises, graph each function in...Ch. 10.2 - In the following exercises, graph each function in...Ch. 10.2 - In the following exercises, graph each function in...Ch. 10.2 - In the following exercises, graph each exponential...Ch. 10.2 - In the following exercises, graph each exponential...Ch. 10.2 - In the following exercises, graph each exponential...Ch. 10.2 - In the following exercises, graph each exponential...Ch. 10.2 - In the following exercises, graph each exponential...Ch. 10.2 - In the following exercises, graph each exponential...Ch. 10.2 - In the following exercises, graph each exponential...Ch. 10.2 - In the following exercises, graph each exponential...Ch. 10.2 - In the following exercises, graph each exponential...Ch. 10.2 - In the following exercises, graph each exponential...Ch. 10.2 - In the following exercises, solve each equation....Ch. 10.2 - In the following exercises, solve each equation....Ch. 10.2 - In the following exercises, solve each equation....Ch. 10.2 - In the following exercises, solve each equation....Ch. 10.2 - In the following exercises, solve each equation....Ch. 10.2 - In the following exercises, solve each equation....Ch. 10.2 - In the following exercises, solve each equation....Ch. 10.2 - In the following exercises, solve each equation....Ch. 10.2 - In the following exercises, solve each equation....Ch. 10.2 - In the following exercises, solve each equation....Ch. 10.2 - In the following exercises, solve each equation....Ch. 10.2 - In the following exercises, solve each equation....Ch. 10.2 - In the following exercises, solve each equation....Ch. 10.2 - In the following exercises, solve each equation....Ch. 10.2 - In the following exercises, match the graphs to...Ch. 10.2 - In the following exercises, match the graphs to...Ch. 10.2 - In the following exercises, match the graphs to...Ch. 10.2 - In the following exercises, match the graphs to...Ch. 10.2 - In the following exercises, match the graphs to...Ch. 10.2 - In the following exercises, match the graphs to...Ch. 10.2 - In the following exercises, use an exponential...Ch. 10.2 - In the following exercises, use an exponential...Ch. 10.2 - In the following exercises, use an exponential...Ch. 10.2 - In the following exercises, use an exponential...Ch. 10.2 - In the following exercises, use an exponential...Ch. 10.2 - In the following exercises, use an exponential...Ch. 10.2 - In the following exercises, use an exponential...Ch. 10.2 - In the following exercises, use an exponential...Ch. 10.2 - Explain how you can distinguish between...Ch. 10.2 - Compare and contrast the graphs of y=x2 and y=2x.Ch. 10.2 - What happens to an exponential function as the...Ch. 10.3 - Convert to logarithmic form: (a) 32=9 (b) 712=7...Ch. 10.3 - Convert to logarithmic form: (a) 43=64 (b) 413=43...Ch. 10.3 - Convert to exponential form: (a) 3=log464 (b)...Ch. 10.3 - Convert to exponential form: (a) 3=log327 (b)...Ch. 10.3 - Find the value of x: (a) logx64=2 (b) log5x=3 (c)...Ch. 10.3 - Find the value of x: (a) logx81=2 (b) log3x=5 (c)...Ch. 10.3 - Find the exact value logarithm without using a...Ch. 10.3 - Find the exact value logarithm without using a...Ch. 10.3 - Graph: y=log3x.Ch. 10.3 - Graph: y=log5x.Ch. 10.3 - Graph: y=log12x.Ch. 10.3 - Graph: y=log14x.Ch. 10.3 - Solve: (a) loga121=2 (b) lnx=7Ch. 10.3 - Solve: (a) loga64=3 (b) lnx=9Ch. 10.3 - Solve: (a) log2(5x1)=6 (b) lne3x=6Ch. 10.3 - Solve: (a) log3(4x+3)=3 (b) lne4x=4Ch. 10.3 - What is the decibel level of one of the new quiet...Ch. 10.3 - What is the decibel level heavy city traffic with...Ch. 10.3 - In 1906, San Francisco experienced an intense...Ch. 10.3 - In 2014, Chile experienced an intense earthquake...Ch. 10.3 - In the following exercises, convert form...Ch. 10.3 - In the following exercises, convert form...Ch. 10.3 - In the following exercises, convert form...Ch. 10.3 - In the following exercises, convert form...Ch. 10.3 - 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In the following exercises, find the exact value...Ch. 10.3 - In the following exercises, find the exact value...Ch. 10.3 - In the following exercises, find the exact value...Ch. 10.3 - In the following exercises, find the exact value...Ch. 10.3 - In the following exercises, find the exact value...Ch. 10.3 - In the following exercises, find the exact value...Ch. 10.3 - In the following exercises, find the exact value...Ch. 10.3 - In the following exercises, find the exact value...Ch. 10.3 - In the following exercises, find the exact value...Ch. 10.3 - In the following exercises, find the exact value...Ch. 10.3 - In the following exercises, find the exact value...Ch. 10.3 - In the following exercises, find the exact value...Ch. 10.3 - In the following exercises, graph each logarithmic...Ch. 10.3 - In the following exercises, graph each logarithmic...Ch. 10.3 - In the following exercises, graph each logarithmic...Ch. 10.3 - In the following exercises, graph each logarithmic...Ch. 10.3 - In the following exercises, graph each logarithmic...Ch. 10.3 - In the following exercises, graph each logarithmic...Ch. 10.3 - In the following exercises, graph each logarithmic...Ch. 10.3 - In the following exercises, graph each logarithmic...Ch. 10.3 - In the following exercises, graph each logarithmic...Ch. 10.3 - In the following exercises, graph each logarithmic...Ch. 10.3 - In the following exercises, solve each logarithmic...Ch. 10.3 - In the following exercises, solve each logarithmic...Ch. 10.3 - In the following exercises, solve each logarithmic...Ch. 10.3 - In the following exercises, solve each logarithmic...Ch. 10.3 - In the following exercises, solve each logarithmic...Ch. 10.3 - In the following exercises, solve each logarithmic...Ch. 10.3 - In the following exercises, solve each logarithmic...Ch. 10.3 - In the following exercises, solve each logarithmic...Ch. 10.3 - In the following exercises, solve each logarithmic...Ch. 10.3 - In the following exercises, solve each logarithmic...Ch. 10.3 - In the following exercises, solve each logarithmic...Ch. 10.3 - In the following exercises, solve each logarithmic...Ch. 10.3 - In the following exercises, solve each logarithmic...Ch. 10.3 - In the following exercises, solve each logarithmic...Ch. 10.3 - In the following exercises, solve each logarithmic...Ch. 10.3 - In the following exercises, solve each logarithmic...Ch. 10.3 - In the following exercises, solve each logarithmic...Ch. 10.3 - In the following exercises, solve each logarithmic...Ch. 10.3 - In the following exercises, solve each logarithmic...Ch. 10.3 - In the following exercises, solve each logarithmic...Ch. 10.3 - In the following exercises, use a logarithmic...Ch. 10.3 - In the following exercises, use a logarithmic...Ch. 10.3 - In the following exercises, use a logarithmic...Ch. 10.3 - In the following exercises, use a logarithmic...Ch. 10.3 - In the following exercises, use a logarithmic...Ch. 10.3 - In the following exercises, use a logarithmic...Ch. 10.3 - In the following exercises, use a logarithmic...Ch. 10.3 - In the following exercises, use a logarithmic...Ch. 10.3 - In the following exercises, use a logarithmic...Ch. 10.3 - In the following exercises, use a logarithmic...Ch. 10.4 - Evaluate using the properties of logarithms: (a)...Ch. 10.4 - Evaluate using the properties of logarithms: (a)...Ch. 10.4 - Evaluate using the properties of logarithms: (a)...Ch. 10.4 - Evaluate using the properties of logarithms: (a)...Ch. 10.4 - Use the Product Property of Logarithms to write...Ch. 10.4 - Use the Product Property of Logarithms to write...Ch. 10.4 - Use the Quotient Property of Logarithms to write...Ch. 10.4 - Use the Quotient Property of Logarithms to write...Ch. 10.4 - Use the Power property of Logarithms to write each...Ch. 10.4 - Use the Power property of Logarithms to write each...Ch. 10.4 - Use the Properties of Logarithms to expand the...Ch. 10.4 - Use the Properties of Logarithms to expand the...Ch. 10.4 - Use the Properties of Logarithms to expand the...Ch. 10.4 - Use the Properties of Logarithms to expand the...Ch. 10.4 - Use the Properties of Logarithms to condense the...Ch. 10.4 - Use the Properties of Logarithms to condense the...Ch. 10.4 - Use the Properties of Logarithms to condense the...Ch. 10.4 - Use the Properties of Logarithms to condense the...Ch. 10.4 - Rounding to three decimal places, approximate...Ch. 10.4 - Rounding to three decimal places, approximate...Ch. 10.4 - In the following exercises, use the properties of...Ch. 10.4 - In the following exercises, use the properties of...Ch. 10.4 - In the following exercises, use the properties of...Ch. 10.4 - In the following exercises, use the properties of...Ch. 10.4 - In the following exercises, use the properties of...Ch. 10.4 - In the following exercises, use the properties of...Ch. 10.4 - In the following exercises, use the properties of...Ch. 10.4 - In the following exercises, use the properties of...Ch. 10.4 - In the following exercises, use the properties of...Ch. 10.4 - In the following exercises, use the properties of...Ch. 10.4 - In the following exercises, use the Quotient...Ch. 10.4 - In the following exercises, use the Quotient...Ch. 10.4 - In the following exercises, use the Quotient...Ch. 10.4 - In the following exercises, use the Quotient...Ch. 10.4 - In the following exercises, use the Quotient...Ch. 10.4 - In the following exercises, use the Quotient...Ch. 10.4 - In the following exercises, use the Quotient...Ch. 10.4 - In the following exercises, use the Quotient...Ch. 10.4 - In the following exercises, use the Quotient...Ch. 10.4 - In the following exercises, use the Quotient...Ch. 10.4 - In the following exercises, use the Quotient...Ch. 10.4 - In the following exercises, use the Quotient...Ch. 10.4 - In the following exercises, use the Quotient...Ch. 10.4 - In the following exercises, use the Quotient...Ch. 10.4 - In the following exercises, use the Properties of...Ch. 10.4 - In the following exercises, use the Properties of...Ch. 10.4 - In the following exercises, use the Properties of...Ch. 10.4 - In the following exercises, use the Properties of...Ch. 10.4 - In the following exercises, use the Properties of...Ch. 10.4 - In the following exercises, use the Properties of...Ch. 10.4 - In the following exercises, use the Properties of...Ch. 10.4 - In the following exercises, use the Properties of...Ch. 10.4 - In the following exercises, use the Properties of...Ch. 10.4 - In the following exercises, use the Properties of...Ch. 10.4 - In the following exercises, use the Properties of...Ch. 10.4 - In the following exercises, use the Properties of...Ch. 10.4 - In the following exercises, use the Properties of...Ch. 10.4 - In the following exercises, use the Properties of...Ch. 10.4 - In the following exercises, use the Properties of...Ch. 10.4 - the following exercises, use the Properties of...Ch. 10.4 - In the following exercises, use the Properties of...Ch. 10.4 - In the following exercises, use the Properties of...Ch. 10.4 - In the following exercises, use the Properties of...Ch. 10.4 - In the following exercises, use the Properties of...Ch. 10.4 - 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In the following exercises, use the Change-of-Base...Ch. 10.4 - In the following exercises, use the Change-of-Base...Ch. 10.4 - In the following exercises, use the Change-of-Base...Ch. 10.4 - In the following exercises, use the Change-of-Base...Ch. 10.4 - In the following exercises, use the Change-of-Base...Ch. 10.4 - In the following exercises, use the Change-of-Base...Ch. 10.4 - Write the Product Property in your own words. Does...Ch. 10.4 - Write the Power Property in your own words. Does...Ch. 10.4 - Use an example to show that log(a+b)loga+logb ?Ch. 10.4 - Explain how to find the value of log715 using your...Ch. 10.5 - Solve: 2log3x=log336Ch. 10.5 - Solve: 3logx=log64Ch. 10.5 - Solve: log2x+log2(x2)=3Ch. 10.5 - Solve: log2x+log2(x6)=4Ch. 10.5 - Solve: log(x+2)log(4x+3)=logx.Ch. 10.5 - Solve: log(x2)log(4x+16)=log1x.Ch. 10.5 - Solve 7x=43 . Find the exact answer and then...Ch. 10.5 - Solve 8x=98. Find the exact answer and then...Ch. 10.5 - Solve 2ex2=18 . Find the exact answer and then...Ch. 10.5 - Solve 5e2x=25. Find the exact answer and then...Ch. 10.5 - Hector invests $10,000 at age 21. He hopes the...Ch. 10.5 - Rachel invests $15,000 at age 25. She hopes the...Ch. 10.5 - Researchers recorded that a certain bacteria...Ch. 10.5 - Researchers recorded that a certain bacteria...Ch. 10.5 - The half-life of magnesium-27 is 9.45 minutes. How...Ch. 10.5 - The half-life of radioactive iodine is 60 days....Ch. 10.5 - In the following exercises, solve for x. 288....Ch. 10.5 - In the following exercises, solve for x. 289....Ch. 10.5 - In the following exercises, solve for x. 290....Ch. 10.5 - In the following exercises, solve for x. 291....Ch. 10.5 - In the following exercises, solve for x. 292....Ch. 10.5 - In the following exercises, solve for x. 293. 3...Ch. 10.5 - In the following exercises, solve for x. 294....Ch. 10.5 - In the following exercises, solve for x. 295....Ch. 10.5 - In the following exercises, solve for x. 296....Ch. 10.5 - In the following exercises, solve for x. 297....Ch. 10.5 - In the following exercises, solve for x. 299....Ch. 10.5 - In the following exercises, solve for x. 299....Ch. 10.5 - In the following exercises, solve for x. 300....Ch. 10.5 - In the following exercises, solve for x. 301....Ch. 10.5 - In the following exercises, solve for x. 302....Ch. 10.5 - In the following exercises, solve for x. 303....Ch. 10.5 - In the following exercises, solve for x. 304....Ch. 10.5 - In the following exercises, solve for x. 305....Ch. 10.5 - In the following exercises, solve each exponential...Ch. 10.5 - In the following exercises, solve each exponential...Ch. 10.5 - In the following exercises, solve each exponential...Ch. 10.5 - In the following exercises, solve each exponential...Ch. 10.5 - In the following exercises, solve each exponential...Ch. 10.5 - In the following exercises, solve each exponential...Ch. 10.5 - In the following exercises, solve each exponential...Ch. 10.5 - In the following exercises, solve each exponential...Ch. 10.5 - In the following exercises, solve each exponential...Ch. 10.5 - In the following exercises, solve each exponential...Ch. 10.5 - In the following exercises, solve each exponential...Ch. 10.5 - In the following exercises, solve each exponential...Ch. 10.5 - In the following exercises, solve each exponential...Ch. 10.5 - In the following exercises, solve each exponential...Ch. 10.5 - In the following exercises, solve each exponential...Ch. 10.5 - In the following exercises, solve each exponential...Ch. 10.5 - In the following exercises, solve each equation....Ch. 10.5 - In the following exercises, solve each equation....Ch. 10.5 - In the following exercises, solve each equation....Ch. 10.5 - In the following exercises, solve each equation....Ch. 10.5 - In the following exercises, solve each equation....Ch. 10.5 - In the following exercises, solve each equation....Ch. 10.5 - In the following exercises, solve each equation....Ch. 10.5 - In the following exercises, solve each equation....Ch. 10.5 - In the following exercises, solve each equation....Ch. 10.5 - In the following exercises, solve each equation....Ch. 10.5 - In the following exercises, solve each equation....Ch. 10.5 - In the following exercises, solve each equation....Ch. 10.5 - In the following exercises, solve each equation....Ch. 10.5 - In the following exercises, solve each equation....Ch. 10.5 - In the following exercises, solve each equation....Ch. 10.5 - In the following exercises, solve each equation....Ch. 10.5 - In the following exercises, solve each equation....Ch. 10.5 - In the following exercises, solve each equation....Ch. 10.5 - In the following exercises, solve for x, giving an...Ch. 10.5 - In the following exercises, solve for x, giving an...Ch. 10.5 - In the following exercises, solve for x, giving an...Ch. 10.5 - In the following exercises, solve for x, giving an...Ch. 10.5 - In the following exercises, solve. 344. 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He hopes the...Ch. 10 - Elise invests $4500 in an account that compounds...Ch. 10 - Researchers recorded that a certain bacteria...Ch. 10 - Mouse populations can double in 8 months (A=2A0) ....Ch. 10 - The half-life of radioactive iodine is 60 days....Ch. 10 - For the functions, f(x)=6x+1 and g(x)=8x3, find...Ch. 10 - Determine if the following set of ordered pairs...Ch. 10 - Determine whether each graph is the graph of a...Ch. 10 - Graph, on the same coordinate system, the inverse...Ch. 10 - Find the inverse of the function f(x)=x59.Ch. 10 - Graph the function g(x)=2x3.Ch. 10 - Solve the equation 22x4=64.Ch. 10 - Solve the equation ex2e4=e3x.Ch. 10 - Megan invested $21,000 in a savings account. 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