$\text { Solve the following equation for } x \text {. }$ $\ln x ^ { - 10 } = 6$
A) $x = \sqrt [ 10 ] { \ln ( 6 ) }$
B)$x = \frac { 6 } { \ln ( 10 ) }$
C) $x = \sqrt [ 10 ] { e ^ { - 6 } }$
D) $x = \sqrt [ 10 ] { e ^ { 6 } }$
E) $x = \ln ( 10 ) \ln ( 6 )$

Question

Quizplus · Accepted Answer

First, we can rewrite the equation as $-10\ln x=6$. Then divide by $-10$ to get $\ln x=-0.6$. Now we can use the fact that $\ln x=y$ is equivalent to $x=e^{y}$. So, we have $x=e^{-0.6}=\sqrt[10]{e^{-6}}$. Therefore, the best choice is C.

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

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