Use the power property to rewrite the expression.
-$\log _ { 5 } \sqrt [ 7 ] { \mathrm { y } }$
A) $7 \log _ { 5 } y$
B) $\frac { 1 } { 7 } \log _ { 5 } \sqrt [ 7 ] { \mathrm { y } }$
C) $\frac { 1 } { 7 } \log _ { 5 } y$
D) $\frac { 1 } { 5 } \log _ { 7 } y$

Question

Quizplus · Accepted Answer

The power property of logarithms states that $\log_b (a^c) = c \log_b a$. Applying this to the given expression, $\log_5 (\sqrt[7]{y})$ or $\log_5 (y^{1/7})$, we get $\frac{1}{7} \log_5 y$.

Use the Power Property to Rewrite the Expression log⁡5y7\log _ { 5 } \sqrt [ 7 ] { \mathrm { y } }log5​7y​

Use the Power Property to Rewrite the Expression $\log _ { 5 } \sqrt [ 7 ] { \mathrm { y } }$