How do you solve log 4x = 2?

Jun 26, 2018

Rewrite in in exponential form!

Explanation:

Note that logarithms with a base of 10 (${\log}_{10} x$) are commonly rewritten without it ($\log x$).

${\log}_{a} b = x$ is the same as ${a}^{x} = b$. Let's apply this to our equation:

${\log}_{10} 4 x = 2$
${10}^{2} = 4 x$
$100 = 4 x$
$25 = x$

Hope this helped!

Jun 26, 2018

x = 25

Explanation:

$\log \left(4 x\right) = 2$
Since the base is not mentioned we assume it to be 10.
$4 x = {10}^{2}$
$x = \frac{100}{4} = 25$