# How do you solve 8^(5x)=16^(3x+4)?

Jul 23, 2016

$\frac{16}{3}$

#### Explanation:

The above equation can be rewritten as ${2}^{3 \left(5 x\right)} = {2}^{4 \left(3 x + 4\right)}$

From here we can use log base 2 to get

$15 x = 12 x + 16$
$x = \frac{16}{3}$