Question #e84e3

Apr 12, 2017

I got $x = \frac{4}{3}$

Explanation:

We can write it as:
${\left(\sqrt{2}\right)}^{x + 4} = {\left(\sqrt{2}\right)}^{4 x}$
so to be eqal we need the exponents to be equal as well or:
$x + 4 = 4 x$
$3 x = 4$
$x = \frac{4}{3}$