Evaluate the logarithm.
-$\log _ { 9 } \left( \frac { 1 } { 81 } \right)$
A) 2
B) $- 2$
C) $- 9$
D) 9

Name: Evaluate the logarithm. -$\log _ { 9 } \left( \frac { 1 } { 81 } \right)$ A) 2 B) $- 2$ C) $- 9$ D) 9
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Question

Quizplus · Accepted Answer

The logarithm $\log_9 \left(\frac{1}{81}\right)$ can be rewritten as $\log_9 (9^{-2})$, since $81 = 9^2$ and taking the reciprocal of a base to a power is equivalent to changing the sign of the exponent. Therefore, the answer is $-2$.

Evaluate the Logarithm log⁡9(181)\log _ { 9 } \left( \frac { 1 } { 81 } \right)log9​(811​)

Evaluate the Logarithm $\log _ { 9 } \left( \frac { 1 } { 81 } \right)$