# How do you solve log x = 1.8?

Nov 29, 2015

$x = {10}^{1.8} \approx 63.096$

#### Explanation:

$\log x$ means ${\log}_{10} x$

By definition
$\textcolor{w h i t e}{\text{XXX}} {\log}_{b} p = q$
is equivalent to
$\textcolor{w h i t e}{\text{XXX}} p = {b}^{q}$

Therefore
$\textcolor{w h i t e}{\text{XXX}} {\log}_{10} x = 1.8$
is equivalent to
$\textcolor{w h i t e}{\text{XXX}} x = {10}^{1.8}$
(which can be evaluated using a calculator as approximately $63.096$)