Evaluate the logarithm.
-$\log _ { 8 } ( 32 )$
A) $\frac { 5 } { 3 }$
B) $\frac { 5 } { 4 }$
C) $\frac { 4 } { 3 }$
D) $\frac { 3 } { 2 }$

Name: Evaluate the logarithm. -$\log _ { 8 } ( 32 )$ A) $\frac { 5 } { 3 }$ B) $\frac { 5 } { 4 }$ C) $\frac { 4 } { 3 }$ D) $\frac { 3 } { 2 }$
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Question

Quizplus · Accepted Answer

$\log_8(32)$ can be rewritten as $8^x = 32$. Since $8 = 2^3$ and $32 = 2^5$, we have $(2^3)^x = 2^5$, which simplifies to $2^{3x} = 2^5$. Therefore, $3x = 5$, and $x = \frac{5}{3}$.

Evaluate the Logarithm log⁡8(32)\log _ { 8 } ( 32 )log8​(32)

Evaluate the Logarithm $\log _ { 8 } ( 32 )$