Find the value of the logarithmic expression.
-$\log _ { 3 } \frac { 1 } { 27 }$
A) $- \frac { 1 } { 9 }$
B) $\frac { 1 } { 3 }$
C) $- 3$
D) 3

Name: Find the value of the logarithmic expression. -$\log _ { 3 } \frac { 1 } { 27 }$ A) $- \frac { 1 } { 9 }$ B) $\frac { 1 } { 3 }$ C) $- 3$ 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 $27 = 3^3$, $\frac{1}{27} = 3^{-3}$. Therefore, the value of the expression is $-3$.

Find the Value of the Logarithmic Expression log⁡3127\log _ { 3 } \frac { 1 } { 27 }log3​271​

Find the Value of the Logarithmic Expression $\log _ { 3 } \frac { 1 } { 27 }$