# How do you solve log_4x=3?

Jul 9, 2016

x = 64

#### Explanation:

$\textcolor{\mathmr{and} a n \ge}{\text{Reminder}}$

$\textcolor{red}{| \overline{\underline{\textcolor{w h i t e}{\frac{a}{a}} \textcolor{b l a c k}{{\log}_{b} x = a \Leftrightarrow x = {b}^{a}} \textcolor{w h i t e}{\frac{a}{a}} |}}}$

here a = 3 and b = 4

$\Rightarrow {\log}_{4} x = 3 \Rightarrow x = {4}^{3} = 64$