$\text { Solve the following equation for } x \text {. }$ $e ^ { \ln ( 13 x ) } = 3$
A) $x = \frac { \ln ( 3 ) } { \ln ( 13 ) }$
B) $x = \frac { 3 } { 13 }$
C) $x = 39$
D) $x = \frac { 3 } { \ln ( 13 ) }$
E) $x = \frac { 3 } { e \ln ( 13 ) }$

Question

Quizplus · Accepted Answer

Using the property that $e^{\ln x}=x$, we have $$e^{\ln(13x)}=13x=3$$ Solving for $x$ gives $x=\frac{3}{13}$. Therefore, the answer is B.

Solve the following equation for x. \text { Solve the following equation for } x \text {. } Solve the following equation for x.

$\text { Solve the following equation for } x \text {. }$