Evaluate the function $f ( x ) = \log _ { 2 } x$ at $x = \frac { 1 } { 2 }$ without using a calculator.
A) 0
B) $- 1$
C) $- 2$
D) 2
E) $\frac { 1 } { 2 }$

Name: Evaluate the function $f ( x ) = \log _ { 2 } x$ at $x = \frac { 1 } { 2 }$ without using a calculator. A) 0 B) $- 1$ C) $- 2$ D) 2 E) $\frac { 1 } { 2 }$
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Question

Quizplus · Accepted Answer

The logarithm function $f(x) = \log_2 x$ asks the question "to what power must 2 be raised to get x?" For $x = \frac{1}{2}$, the answer is $-1$ because $2^{-1} = \frac{1}{2}$.

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Evaluate the Function $f ( x ) = \log _ { 2 } x$