Evaluate the logarithm without the use of a calculator.
-$\log _ { 7 } \sqrt { 7 }$
A) 7
B) $\frac { 1 } { 7 }$
C) $\frac { 1 } { 2 }$
D) 1

Question

Quizplus · Accepted Answer

The expression $\log_7 \sqrt{7}$ can be rewritten as $\log_7 7^{\frac{1}{2}}$. According to the logarithm power rule, this is equal to $\frac{1}{2} \log_7 7$. Since $\log_7 7 = 1$, the expression simplifies to $\frac{1}{2}$.

Evaluate the Logarithm Without the Use of a Calculator log⁡77\log _ { 7 } \sqrt { 7 }log7​7​

Evaluate the Logarithm Without the Use of a Calculator $\log _ { 7 } \sqrt { 7 }$