# Question #d7dac

Jan 15, 2017

$x = {e}^{\frac{9}{2}}$

#### Explanation:

Using the property of logarithms that $\ln \left(\frac{a}{b}\right) = \ln a - \ln b$

and the property stating that $\ln {a}^{b} = b \ln a$

we can see that $\ln x - 3 \ln e = \ln \frac{x}{3 \ln e}$

since $\ln e = 1$,

$\ln x - 3 = \ln \frac{x}{3} \implies 3 \ln x - 9 = \ln x \implies 2 \ln x = 9 \implies \ln x = \frac{9}{2} \implies x = {e}^{\frac{9}{2}}$