Use the power property to rewrite the expression.
-$\log _ { \mathrm { x } } \mathrm { y } ^ { \mathrm { z } }$
A) $z \log _ { y } x$
B) $y \log _ { x } z$
C) $z \log _ { x } y$
D) $x \log _ { y } z$

Question

Quizplus · Accepted Answer

The power property of logarithms states that $\log_b(m^n) = n \log_b(m)$. Applying this to the given expression $\log_x(y^z)$, it simplifies to $z \log_x(y)$, which matches choice C.

Use the Power Property to Rewrite the Expression log⁡xyz\log _ { \mathrm { x } } \mathrm { y } ^ { \mathrm { z } }logx​yz

Use the Power Property to Rewrite the Expression $\log _ { \mathrm { x } } \mathrm { y } ^ { \mathrm { z } }$