Evaluate the expression without using a calculator.
-$$\log _ { 3 } \frac { 1 } { 27 }$$
A) 9
B) 3
C) $\frac { 1 } { 3 }$
D) $- 3$

Name: Evaluate the expression without using a calculator. -\[\log _ { 3 } \frac { 1 } { 27 }\] A) 9 B) 3 C) $\frac { 1 } { 3 }$ D) $- 3$
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Question

Quizplus · Accepted Answer

The expression $\log _ { 3 } \frac { 1 } { 27 }$ asks for the power to which 3 must be raised to get $\frac { 1 } { 27 }$. Since $27 = 3^3$, $\frac { 1 } { 27 } = 3^{-3}$, making the answer $-3$.

Evaluate the Expression Without Using a Calculator log⁡3127\log _ { 3 } \frac { 1 } { 27 }log3​271​

Evaluate the Expression Without Using a Calculator $\log _ { 3 } \frac { 1 } { 27 }$