# How do solve 4logx = 24.8?

Aug 29, 2015

Assuming your $\log$ is base 10:
4log(x) = 24.8 color(white)("XXX")rArrcolor(white)"XXX"x=1584893

#### Explanation:

$4 \log \left(x\right) = 24.8$
$\rightarrow \textcolor{w h i t e}{\text{XXX}} \log \left(x\right) = \frac{24.8}{4} = 6.2$

In general
$\textcolor{w h i t e}{\text{XXX")log_b(x)=ycolor(white)("XXX")"means"color(white)("XXX}} {b}^{y} = x$

So
$\textcolor{w h i t e}{\text{XXX")log_10(x)=6.2color(white)("XXX")"means"color(white)("XXX}} {10}^{6.2} = x$
and (with the aid of a calculator)
$\textcolor{w h i t e}{\text{XXX}} x = 1584893$