Answers AA - F26 Advanced AlgebraSolving Exponential Equations by Rewriting the Base

Solving Exponential Equations by Rewriting the Base Answers

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What is the inverse of the logarithmic function f(x) = log2x?

f –1(x) = x2

f –1(x) = 2x

f –1(x) = logx2

f –1(x) =

The point (–1, 0.5) lies on the graph of f –1(x) = 2x. Based on this information, which point lies on the graph of f(x) = log2x?

(–0.5, 1)

(0.5, –1)

(1, –0.5)

(1, 0.5)

What happens to the value of f(x) = log4x as x approaches +∞?

f(x) approaches negative infinity

f(x) approaches 0

f(x) approaches infinity

For x > 1, the graph of which function increases faster?

They increase at the same rate.

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