What are 3 properties of exponents and what are their companion prope 22) Graph and find the domain of the following, a) f (x) = -e*, b) g(x) = 2*+1 + 3 23) Use the Laws of Logarithms to expand the following expression. a) In 2x+1 c) g(x) = In(x + 2). %3D %3D 3e2 b) log5(25x(4x – 10)³) - 24) Use the Laws of Logarithms to comhing

Q: 1. Solve and check for extraneous roots. a) log₂x + log₂(x + 2) = 3 b) log5(2x + 1) = 1 − log5 (x +…

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Q: d) The inverse of the exponential function y = bx, is obtained by interchanging the x and the y…

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Q: Supposed log 2 = a, log 3 = b, and log 5 = c Express log (20/9) in terms of a, b, and c. none of the…

A: We have, log(2)=a, log(3) = b and log(5)=c We need to express log(20/9) in terms of a, b and c. This…

Q: a) Use the Laws of logarithms to rewrite the expression log in a form with no logarithm of a…

A: Use laws of logarithms to rewrite the given expressions in expanded form and single log.

Q: how to explain using correct math terminology and graph trasnformations, the defferenecs betweeen…

A: Consider the basic function : y=fx . After transformation , new function is y=afbx+c+d . a denotes :…

Q: True or false: For any real number b > 1, and any real numbers > 0 and y > 0, it must be true that:…

A: Yes, the statement logb(xy)=logb ​(x)+logb ​(y) is true for any real number b>>1 and any real…

Q: Consider the logarithmic function: = g(x) 3 log2(1-x) - 6 a) State the range of this function in…

A: a) (−∞,−6)b)  x = 1c) (−∞,1)Explanation:a)To find the range of the function (g(x)=3log2​(1−x)−6),…

Q: 11) Fill in the table below, make the graph, and identify the key features. n(x) = log,; %3D 5 5 5…

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Q: og3 (a) = b, then log, (a) is: a) b) a c) b

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Q: 1) (20 pts) If log, = X, express log, in terms of x 2) (40 pts) Simplify and find the value of 1 1 1…

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Q: Which of the following are equivalent to log, (2)? (1) 2 logo -log, (8) 3 1 log(4) log(16) logo (8)…

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Q: 7. If log, w = and log6x + log6 y = 1, then determine the value of log7 (4) + log6 (36x²y²) ?|

A: topic- logarithmic equations logaa=1log(ab)=log(a)+log(b)logab=log(a)=log(b)log(am)=mlog(a)

Q: 8.) log2(3)(37) 9.) log4(64)(37) + log3(343)(2) 2 10.) log10 0.02 + log4– log2 47 3

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Q: This question must be completed. Please make sure you complete all parts and then sketch the graph…

A: fx=lnx-2

Q: Sketch the graph of the following:  Using interval notation, state the domain and range. State the…

A: a) The graph for the given function is shown in below figure.

Q: a) x¹+2log x= 100.x log x b) log(x+2)+log(x-7) = 2.log (x-4)

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Q: a) Evaluate without a calculator -3 3 14 e) 27 -% b) 32% f) 9 25 3/2 c) - 24 d) +64 9) 30+2-12

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Q: The function y = log2x is transformed into the graph of y = log(x + 2) - 3. a) Describe (in a…

A: This is a problem of real-values function.