Simplify the expression.
-$$\log _ { 9 } \frac { 1 } { 81 }$$
A) 9
B) -9
C) -2
D) 2

Name: Simplify the expression. -\[\log _ { 9 } \frac { 1 } { 81 }\] A) 9 B) -9 C) -2 D) 2
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Question

Quizplus · Accepted Answer

We can rewrite $\frac{1}{81}$ as $9^{-2}$, so the expression becomes $\log_9 9^{-2}$. Using the property of logarithms that $\log_a a^x=x$, we can simplify this to $-2$. Therefore, the answer is C.

Simplify the Expression log⁡9181\log _ { 9 } \frac { 1 } { 81 }log9​811​

Simplify the Expression $\log _ { 9 } \frac { 1 } { 81 }$