Rewrite the expression as a sum, difference, or multiple of logarithms.
-$\log x ^ { 2 } ( 5 x - 4 ) ^ { 5 }$
A) $7 \log ( 6 x - 4 )$
B) $2 \log x + 5 \log ( 5 x - 4 )$
C) $2 \log x + 5 \log 5 x - 5 \log 4$
D) $2 \log x - 5 \log ( 5 x - 4 )$

Question

Quizplus · Accepted Answer

The expression can be rewritten using the properties of logarithms: $\log a^m = m \log a$ and $\log ab = \log a + \log b$. Thus, $\log x^2(5x - 4)^5 = 2\log x + 5\log(5x - 4)$.

Rewrite the Expression as a Sum, Difference, or Multiple of Logarithms