Use the properties of logarithms to expand the expression as a sum, difference, and/or constant multiple of logarithms. (Assume all variables are positive.)
$\ln \sqrt [ 6 ] { t }$
A) $\frac { 1 } { 6 } \ln t$
B) $\ln t - \frac { 1 } { 6 }$
C) $\ln t - 6$
D) $\frac { 1 } { 3 } \ln t$
E) $\ln t - \frac { 1 } { 3 }$

Question

Quizplus · Accepted Answer

The expression $\ln \sqrt [ 6 ] { t }$ can be rewritten using the property of logarithms that $\log_b a^c = c \log_b a$, resulting in $\frac { 1 } { 6 } \ln t$.

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