# How do you solve 4log_3x=28?

Jul 17, 2016

$x = 2187$

#### Explanation:

$4 {\log}_{3} x = 28$

$\Leftrightarrow {\log}_{3} x = \frac{28}{4} = 7$

$\Leftrightarrow x = {3}^{7}$ or

$x = = {3}^{7} = 2187$

Jul 17, 2016

$x = {3}^{7}$
Since ${\log}_{3} x = 7$, this follows from the definition of logarithms.