Use properties of logarithms to expand the logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using a calculator.
-$\log _ { 7 } ( 7 x )$
A) 1
B) $1 + \log _ { 7 } x$
C) $x$
D) 7

Question

Quizplus · Accepted Answer

The logarithmic expression can be expanded using the property $\log_b(mn) = \log_b(m) + \log_b(n)$. Therefore, $\log_7(7x) = \log_7(7) + \log_7(x)$. Since $\log_7(7) = 1$, the expression simplifies to $1 + \log_7(x)$.

Use Properties of Logarithms to Expand the Logarithmic Expression as Much