Assuming all variables are positive, use properties of logarithms to write the expression as a sum or difference of
logarithms or multiples of logarithms.
-$\ln x ^ { 5 } y ^ { 5 }$
A) $\ln ( 5 x ) \cdot \ln ( 5 y )$
B) $\ln x ^ { 5 } \cdot \ln y ^ { 5 }$
C) $\ln ( 5 x ) + \ln ( 5 y )$
D) $5 \ln x + 5 \ln y$

Question

Quizplus · Accepted Answer

The correct answer is D because according to the properties of logarithms, specifically the power rule ($\ln a^b = b \ln a$) and the product rule ($\ln ab = \ln a + \ln b$), the expression $\ln x^5y^5$ can be rewritten as $5 \ln x + 5 \ln y$.

Assuming All Variables Are Positive, Use Properties of Logarithms to Write