Find the exact value of the logarithmic expression without using a calculator. $\log _ { 7 } \sqrt [ 3 ] { 7 }$
A)3
B) $\frac { 1 } { 3 }$
C)7
D)21
E)None of these

Name: Find the exact value of the logarithmic expression without using a calculator. $\log _ { 7 } \sqrt [ 3 ] { 7 }$ A)3 B) $\frac { 1 } { 3 }$ C)7 D)21 E)None of these
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Question

Find the exact value of the logarithmic expression without using a calculator.  $\log _ { 7 } \sqrt [ 3 ] { 7 }$ 
A)3
B) $\frac { 1 } { 3 }$
C)7
D)21
E)None of these

Quizplus · Accepted Answer

The expression $\log_7 \sqrt[3]{7}$ can be rewritten as $\log_7 7^{\frac{1}{3}}$. According to the logarithmic identity $\log_b b^x = x$, the answer is $\frac{1}{3}$.

Find the Exact Value of the Logarithmic Expression Without Using log⁡773\log _ { 7 } \sqrt [ 3 ] { 7 }log7​37​

Find the Exact Value of the Logarithmic Expression Without Using $\log _ { 7 } \sqrt [ 3 ] { 7 }$