# How do you solve  log _2 x – log_2 4 = 2?

Dec 28, 2015

I found: $x = 16$

#### Explanation:

You can use the property of logs that says:
$\log x - \log y = \log \left(\frac{x}{y}\right)$
and get:
${\log}_{2} \left(\frac{x}{4}\right) = 2$
use the definition of log to change it into an exponential and get:
$\frac{x}{4} = {2}^{2}$
$x = 4 \cdot 4 = 16$