Simplify the expression without using a calculator.
-$$\log _ { 2 } \sqrt [ 5 ] { 2 }$$
A) $- \frac { 1 } { 5 }$
B) $\frac { 1 } { 5 }$
C) 5
D) $- 5$

Question

Quizplus · Accepted Answer

The expression $\log_2 \sqrt[5]{2}$ simplifies to $\log_2 2^{\frac{1}{5}}$, which equals $\frac{1}{5}$ because the base of the logarithm and the base of the exponent are the same, thus they cancel out, leaving the exponent $\frac{1}{5}$.

Simplify the Expression Without Using a Calculator log⁡225\log _ { 2 } \sqrt [ 5 ] { 2 }log2​52​

Simplify the Expression Without Using a Calculator $\log _ { 2 } \sqrt [ 5 ] { 2 }$