Evaluate the logarithm.
-$\log _ { 13 } \sqrt { 13 }$
A) $- 2$
B) $\frac { 1 } { 2 }$
C) 2
D) $- \frac { 1 } { 2 }$

Name: Evaluate the logarithm. -$\log _ { 13 } \sqrt { 13 }$ A) $- 2$ B) $\frac { 1 } { 2 }$ C) 2 D) $- \frac { 1 } { 2 }$
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Question

Quizplus · Accepted Answer

The logarithm $\log_{13} \sqrt{13}$ can be rewritten as $\log_{13} 13^{\frac{1}{2}}$. According to the logarithm power rule, this is equal to $\frac{1}{2} \log_{13} 13$, and since $\log_{b} b = 1$, the answer is $\frac{1}{2}$.

Evaluate the Logarithm log⁡1313\log _ { 13 } \sqrt { 13 }log13​13​

Evaluate the Logarithm $\log _ { 13 } \sqrt { 13 }$