Use the power property to rewrite the expression.
-$$\log _ { 2 } \sqrt [ 4 ] { y }$$
A) $\frac { 1 } { 4 } \log _ { 2 } \sqrt [ 4 ] { y }$
B) $4 \log _ { 2 } y$
C) $\frac { 1 } { 2 } \log _ { 4 } y$
D) $\frac { 1 } { 4 } \log _ { 2 } \mathrm { y }$

Question

Quizplus · Accepted Answer

The power property of logarithms states that $\log_b (a^c) = c \log_b a$. Since $\sqrt[4]{y} = y^{1/4}$, the expression $\log_2 \sqrt[4]{y}$ can be rewritten as $\frac{1}{4} \log_2 y$, which matches option D.

Use the Power Property to Rewrite the Expression log⁡2y4\log _ { 2 } \sqrt [ 4 ] { y }log2​4y​

Use the Power Property to Rewrite the Expression $\log _ { 2 } \sqrt [ 4 ] { y }$