Find the exact value of the logarithmic expression.
-$\log _ { 5 } \sqrt { 5 }$
A) 5
B) 1
C) $\frac { 1 } { 5 }$
D) $\frac { 1 } { 2 }$

Name: Find the exact value of the logarithmic expression. -$\log _ { 5 } \sqrt { 5 }$ A) 5 B) 1 C) $\frac { 1 } { 5 }$ D) $\frac { 1 } { 2 }$
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Question

Quizplus · Accepted Answer

The expression $\log_5 \sqrt{5}$ can be rewritten as $\log_5 5^{\frac{1}{2}}$. According to the logarithm power rule, this is equal to $\frac{1}{2} \log_5 5$. Since $\log_5 5 = 1$, the expression simplifies to $\frac{1}{2}$.

Find the Exact Value of the Logarithmic Expression log⁡55\log _ { 5 } \sqrt { 5 }log5​5​

Find the Exact Value of the Logarithmic Expression $\log _ { 5 } \sqrt { 5 }$