Use properties of logarithms to condense the logarithmic expression. Write the expression as a single logarithm
whose coefficient is 1. Where possible, evaluate logarithmic expressions.
-$2 \log _ { x } 4 + \log _ { x } 3$
A) $\log _ { x } 48$
B) $\log _ { x } 24$
C) $2 \log _ { \mathrm { x } } 12$
D) $\log _ { x } 6$

Question

Quizplus · Accepted Answer

Using the properties of logarithms, $2 \log _ { x } 4$ can be rewritten as $\log _ { x } 4^2$ or $\log _ { x } 16$, and the expression becomes $\log _ { x } 16 + \log _ { x } 3$. By the product property of logarithms, this simplifies to $\log _ { x } (16 \cdot 3)$, which is $\log _ { x } 48$.

Use Properties of Logarithms to Condense the Logarithmic Expression 2log⁡x4+log⁡x32 \log _ { x } 4 + \log _ { x } 32logx​4+logx​3

Use Properties of Logarithms to Condense the Logarithmic Expression $2 \log _ { x } 4 + \log _ { x } 3$