Logarithmic Equations How does one go about solving: 
$(5x+2)^{\frac{4}{3}} = 16$
I'm confused as how to parse through the equation to solve it using logs.

$$(5x+2)^{\frac{4}{3}} = 16$$
$$\left((5x+2)^{\frac{4}{3}}\right)^{\frac{3}{4}} = 16^{\frac{3}{4}}$$
$$(5x+2)^{\frac{4}{3}\cdot \frac{3}{4}}=2^{4\cdot \frac{3}{4}}$$
$$5x+2=2^3$$
$$5x+2=8$$
$$x=\frac{6}{5}$$
