Evaluate the logarithm. $\log _ { 36 } 216$
A) $\frac { 3 } { 2 }$
B)3
C) $\frac { 2 } { 3 }$
D)6
E) $\log _ { 36 } 216$ is undefined.

Name: Evaluate the logarithm. $\log _ { 36 } 216$ A) $\frac { 3 } { 2 }$ B)3 C) $\frac { 2 } { 3 }$ D)6 E) $\log _ { 36 } 216$ is undefined.
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Question

Quizplus · Accepted Answer

$\log_{36} 216$ can be simplified by recognizing that $36 = 6^2$ and $216 = 6^3$. Thus, $\log_{6^2} 6^3 = \frac{3}{2}$, because $6^{2 \times \frac{3}{2}} = 6^3$.

Evaluate the Logarithm log⁡36216\log _ { 36 } 216log36​216 A) 32\frac { 3 } { 2 }23​

Evaluate the Logarithm $\log _ { 36 } 216$ A) $\frac { 3 } { 2 }$