8
JLMultiple Choice

Evaluating Logarithmic Expressions

Question 8 • FL-1501300-Personal Fitness

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

Answer
A
f –1(x) = x2
B
f –1(x) = 2x
C
f –1(x) = logx2
D
f –1(x) =

Explanation

Set y = log₂(x), then rewrite the logarithmic equation in exponential form: x = 2ʸ. Switching x and y to find the inverse gives f⁻¹(x) = 2ˣ, so the correct choice is B, f⁻¹(x) = 2ˣ.

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