Evaluate the expression without using a calculator.
-$\log _ { 6 } \frac { 1 } { \sqrt { 6 } }$
A) $- \frac { 1 } { 2 }$
B) $- \frac { 1 } { 6 }$
C) $\frac { 1 } { 2 }$
D) $\frac { 1 } { 6 }$

Question

Quizplus · Accepted Answer

The expression $\log _ { 6 } \frac { 1 } { \sqrt { 6 } }$ can be simplified to $\log _ { 6 } 6^{-\frac { 1 } { 2 }}$, which equals $- \frac { 1 } { 2 }$ because the logarithm of a number to its own base is the exponent to which the base must be raised to produce that number.

Evaluate the Expression Without Using a Calculator log⁡616\log _ { 6 } \frac { 1 } { \sqrt { 6 } }log6​6​1​

Evaluate the Expression Without Using a Calculator $\log _ { 6 } \frac { 1 } { \sqrt { 6 } }$