Use properties of logarithms to expand the logarithmic expression as much as possible.
-$\log _ { 7 } x ^ { 2 } ( x - 7 )$
A) $2 \left( \log _ { 7 } x \right) ( \log _7 ( x - 7 ) )$
B) $\log _ { 7 } 2 x + \log _7 ( 2 x - 14 )$
C) $\log _ { 7 } \left( x ^ { 3 } + 49 x \right)$
D) $2 \log _7 x + \log _7 ( x - 7 )$

Question

Quizplus · Accepted Answer

The expression can be expanded using the properties of logarithms: $\log_b (MN) = \log_b M + \log_b N$ and $\log_b M^k = k \log_b M$. Applying these to $\log_7 x^2(x - 7)$ gives $2 \log_7 x + \log_7 (x - 7)$.

Use Properties of Logarithms to Expand the Logarithmic Expression as Much