Use the properties of logarithms to expand the expression as a sum, difference, and/or constant multiple of logarithms. (Assume all variables are positive.)
$\ln \sqrt [ 4 ] { t }$
A) $\frac { 1 } { 4 } \ln t$
B) $\ln t - \frac { 1 } { 4 }$
C) $\ln t - 4$
D) $\frac { 1 } { 2 } \ln t$
E) $\ln t - \frac { 1 } { 2 }$

Question

Quizplus · Accepted Answer

The expression $\ln \sqrt[4]{t}$ can be rewritten using the property of logarithms that $\ln a^b = b \ln a$. Here, $a = t$ and $b = \frac{1}{4}$, so the expression becomes $\frac{1}{4} \ln t$.

Use the Properties of Logarithms to Expand the Expression as a Sum