Use properties of logarithms to expand the logarithmic expression as much as possible. Where possible, evaluate
logarithmic expressions without using a calculator.
-$\log _ { 3 } ( 27 x )$
A) $3 + \log _ { 3 } x$
B) $9 + \log _ { 3 } x$
C) $3 x$
D) $3 \log _ { 3 } x$

Question

Quizplus · Accepted Answer

The expression $\log_3(27x)$ can be expanded using the properties of logarithms as $\log_3(27) + \log_3(x)$. Since $27 = 3^3$, $\log_3(27) = 3$. Therefore, the expanded form is $3 + \log_3(x)$.

Use Properties of Logarithms to Expand the Logarithmic Expression as Much