Simplify the expression.
-$$\log _ { 6 } \frac { 1 } { 6 }$$
A) 6
B) -1
C) 1
D) 0

Name: Simplify the expression. -\[\log _ { 6 } \frac { 1 } { 6 }\] A) 6 B) -1 C) 1 D) 0
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Question

Quizplus · Accepted Answer

Using the property $a^{-1} = \frac {1}{a}$, we can simplify the expression:

$$\log_6 \frac{1}{6} = \log_6 6^{-1} = -\log_6 6$$

Since $\log _ { b } b =1$, we have $-\log_6 6 = \boxed{	extbf{(B)}\ -1}$.

Simplify the Expression log⁡616\log _ { 6 } \frac { 1 } { 6 }log6​61​