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) $\frac { 1 } { 2 }$

Question

Quizplus · Accepted Answer

We have $f(\frac{1}{2}) = \log_{2}{\frac{1}{2}}$. We can rewrite this as $\log_{2}{2^{-1}}$, which is equal to $-1$ by the definition of logarithms. Therefore, the answer is $\boxed{	extbf{(B)}\ -1}$.

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