Simplify the expression $\log _ { 3 } \left( \frac { 1 } { 27 } \right) ^ { 3 }$ .
A)3
B)0
C)-9
D)-81
E)The expression cannot be simplified.

Name: Simplify the expression $\log _ { 3 } \left( \frac { 1 } { 27 } \right) ^ { 3 }$ . A)3 B)0 C)-9 D)-81 E)The expression cannot be simplified.
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Question

Quizplus · Accepted Answer

The expression simplifies to $\log_3(27^{-3})$. Since $27 = 3^3$, this becomes $\log_3((3^3)^{-3}) = \log_3(3^{-9}) = -9$.

Simplify the Expression log⁡3(127)3\log _ { 3 } \left( \frac { 1 } { 27 } \right) ^ { 3 }log3​(271​)3

Simplify the Expression $\log _ { 3 } \left( \frac { 1 } { 27 } \right) ^ { 3 }$