Evaluate the expression without using a calculator.
-$\log _ { 3 } \frac { 1 } { \sqrt { 3 } }$
A) $- \frac { 1 } { 2 }$
B) $\frac { 1 } { 2 }$
C) $\frac { 1 } { 3 }$
D) $- \frac { 1 } { 3 }$

Question

Quizplus · Accepted Answer

The expression $\log _ { 3 } \frac { 1 } { \sqrt { 3 } }$ can be rewritten as $\log _ { 3 } 3^{-\frac { 1 } { 2 }}$, which simplifies to $-\frac { 1 } { 2 }$ because the logarithm base and the argument's base are the same.

Evaluate the Expression Without Using a Calculator log⁡313\log _ { 3 } \frac { 1 } { \sqrt { 3 } }log3​3​1​

Evaluate the Expression Without Using a Calculator $\log _ { 3 } \frac { 1 } { \sqrt { 3 } }$