Evaluate the expression without using a calculator.
-$\log 10 \frac { 1 } { \sqrt { 10 } }$
A) $- \frac { 1 } { 2 }$
B) $\frac { 1 } { 2 }$
C) $\frac { 1 } { 10 }$
D) $- \frac { 1 } { 10 }$

Question

Quizplus · Accepted Answer

The expression simplifies to $\log 10 \frac { 1 } { \sqrt { 10 } } = \log 10 10^{-\frac{1}{2}} = -\frac{1}{2}$, because $\log_{b} b^{x} = x$.

Evaluate the Expression Without Using a Calculator log⁡10110\log 10 \frac { 1 } { \sqrt { 10 } }log1010​1​

Evaluate the Expression Without Using a Calculator $\log 10 \frac { 1 } { \sqrt { 10 } }$