Use the product, quotient, and power rules of logarithms to rewrite the expression as a single logarithm. Assume that all
variables represent positive real numbers.
-$\frac { 1 } { 3 } \ln x$
A) $\ln \left( \frac { x } { 3 } \right)$
B) $\ln ( \sqrt [ 3 ] { x } )$
C) $\ln \left( x ^ { 3 } \right)$
D) $\ln x - \ln 3$

Question

Quizplus · Accepted Answer

The expression $\frac { 1 } { 3 } \ln x$ can be rewritten using the power rule of logarithms as $\ln (x^{1/3})$, which is equivalent to $\ln ( \sqrt [ 3 ] { x } )$.

Use the Product, Quotient, and Power Rules of Logarithms to Rewrite