17. Given y = -log3 (81(x - 2)²) a) Rewrite using the laws of logarithms.

Q: 1. Simplify the following expressions without the aid of a calculator. a) log, (81) b) log2 (2525) -…

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Q: Use properties of logarithms to expand the logarithmic expressions (No decimal answers). log,(z/xy)

A: To use properties of logarithmic functions to expand the given logarithmic expressions.

Q: 1. Show all steps to solve for x log3 (log5 (4x + 1)) = 0.

A: We need to find out the value of x.

Q: 25łn²(x) log (x) dx

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Q: 2: Evaluate : |x log(1+x) dx

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Q: 1 6. Change from logarithmic form to exponential form y = ab*. y 108. (-x log, = 2 y = 2.7* y-(2) =…

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Q: If log3 (x + 2) = 2, the value of 'x' is..... %3D

A: If logam=n then m=an

Q: 9. Clearly explain, using correct mathematical terminology, the difference(s) between the graph of y…

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Q: Express as sums or differences of logarithms. log yz *(Show your usage of the log properties.)

A: We have to the express given logarithm eqution

Q: Find the Re(z) and Im(z) z=logₑ(7+i)^4

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Q: Condense the following logarithms using the properties. 10) log(x)+log(y)-2 log(y) 11) 2 log(2)

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Q: Isolate x in the following equation: log5 x + log3 x = 4

A: Defination of exponential and logarithmic function -: For a positive real number x , y=logax if and…

Q: Suppose that a and y are real numbers such that log2 (x) = – 3 and log2 (y) 6. Calculate the…

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Q: 4. Solve for x log (35-x³) log (5-x) = 3

A: Given log35-x3log5-x = 3

Q: 3. Solve the Natural Logarithmic Equation: Inx+ In(x – 2) = In 63. (**

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Q: Rewrite the following in terms of a single logarithm: - log(x+2) - 3 log(x) − 5 log(x² + 1)

A: We are required to write the given expression  log(x+2)-3logx-5log(x2+1) in terms of a single…

Q: lator: log, (81 9 est tenth: 12* = 38

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Q: If log x = 3.5 and log y = 5.5, how do x and y compare?

A: We use the definition of the logarithmic function to answer the given question.

Q: Iflog, (2)=0.4752, log, (3)=0.7532, and log, (11)=1.6440, what is the value of the following…

A: If , then to find the value of .

Q: 7. Differentiate y = log10 (x² + 1)² b. 4xlog10e x²+1 a. 4x(x² + 1) c. log e(x) (x² + 1) d. 2x(x² +…

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Q: Johnstown Inclined Plane The JohnstownInclined Plane in Pennsylvania is one of the longestand…

A: Given figure, Given that, A=35.4°AC=896.5 ft