Evaluate the logarithm without the use of a calculator.
-$$\log _ { 9 } \frac { 1 } { 81 }$$
A)9
B)-2
C)2
D)-9

Name: Evaluate the logarithm without the use of a calculator. -\[\log _ { 9 } \frac { 1 } { 81 }\] A)9 B)-2 C)2 D)-9
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Question

Quizplus · Accepted Answer

The logarithm $\log _ { 9 } \frac { 1 } { 81 }$ can be rewritten as $\log _ { 9 } 9^{-2}$, since $81 = 9^2$ and using the property of exponents that $a^{-n} = \frac{1}{a^n}$. According to the logarithm rule $\log_a a^n = n$, the answer is $-2$.

Evaluate the Logarithm Without the Use of a Calculator log⁡9181\log _ { 9 } \frac { 1 } { 81 }log9​811​

Evaluate the Logarithm Without the Use of a Calculator $\log _ { 9 } \frac { 1 } { 81 }$