Write the expression as a sum of logs. Express powers as factors.
-$\log _ { b } yz ^ { 2 } 2$
A) $\log _ { b } y + 2 \log _ { b } z$
B) $2 \log _ { b } y + 2 \log _ { b } z$
C) $2 \log _ { b } y z$
D) $\log _ { b } y + \log _ { b } 2 z$

Question

Quizplus · Accepted Answer

The expression can be rewritten using the properties of logarithms: $\log_b(yz^2 2) = \log_b(y) + \log_b(z^2) + \log_b(2)$. Since $\log_b(z^2) = 2\log_b(z)$ and $\log_b(2)$ is not explicitly in the options, the correct expression is $\log_b(y) + 2\log_b(z)$.

Write the Expression as a Sum of Logs log⁡byz22\log _ { b } yz ^ { 2 } 2logb​yz22

Write the Expression as a Sum of Logs $\log _ { b } yz ^ { 2 } 2$