Rewrite using the power and product rules. Assume all variables represent positive real numbers.
-$\ln x ^ { 4 } y ^ { 5 } z ^ { 2 }$
A) $\ln \frac { 4 } { x } + \ln \frac { 5 } { y } + \ln \frac { 2 } { z }$
B) $4 \ln x - 5 \ln y - 2 \ln z$
C) $4 \ln x + 5 \ln y + 2 \ln z$
D) $\ln 4 x + \ln 5 y + \ln 2 z$

Question

Quizplus · Accepted Answer

The correct answer is obtained by applying the power rule, $\ln a^b = b \ln a$, and the product rule, $\ln ab = \ln a + \ln b$, to the given expression. This results in $4 \ln x + 5 \ln y + 2 \ln z$.

Rewrite Using the Power and Product Rules ln⁡x4y5z2\ln x ^ { 4 } y ^ { 5 } z ^ { 2 }lnx4y5z2

Rewrite Using the Power and Product Rules $\ln x ^ { 4 } y ^ { 5 } z ^ { 2 }$