Use properties of logarithms to expand the logarithmic expression as much as possible. Where possible, evaluate
logarithmic expressions without using a calculator.
-$\log _ { 8 } ( 8 x )$
A) $1 + \log _ { 8 } x$
B) $x$
C) 1
D) 8

Question

Quizplus · Accepted Answer

The expression $\log _ { 8 } ( 8 x )$ can be expanded using the logarithm property $\log _ { b } ( a c ) = \log _ { b } a + \log _ { b } c$. Applying this property, we get $\log _ { 8 } 8 + \log _ { 8 } x$. Since $\log _ { 8 } 8 = 1$, the expression simplifies to $1 + \log _ { 8 } x$.

Use Properties of Logarithms to Expand the Logarithmic Expression as Much