Question 974537
Please show me the step by stem method...this is killing me!

8^(5/3)=2(4^(x/2))

I can do it by solving the left, dividing, and then logic; how do you do it another way? Please help!!!
<pre>8<sup>5/3</sup>{{{"="}}}2(4<sup>^x/2</sup>)
{{{(2^3)^(5/3) = 2(2^2)^(x/2)}}}
2<sup>(3 * (5/3)</sup>{{{"="}}}2(2)<sup>2 * (x/2)</sup>
{{{2^5 = 2(2^x)}}}
{{{2^5/2^1 = 2^x}}}
{{{2^4 = 2^x}}} 
{{{highlight_green(x = 4)}}} ------ Expressions' bases are equal and so are their exponents