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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Quizplus · Accepted Answer

The expression simplifies to $\log_3(1/27)^3 = \log_3(1/27^3) = \log_3(1/19683) = \log_3(3^{-9}) = -9$, using the property $\log_b(a^n) = n\log_b(a)$ and knowing that $27 = 3^3$, so $1/27^3 = 3^{-9}$.

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

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