Question 555432
Solve for x.
{{{4^5 = 2^(3x+2)}}} 
:
{{{2^(3x+2) = 4^5}}}
:
we know that 4^5 = 2^10, right" 
{{{2^(3x+2) = 2^10}}}
:
therefore (exponents of the same number are equal)
3x + 2 = 10
3x = 10 - 2
3x = 8
x = {{{8/3}}}
:
:
See if this flies in the original problem
{{{4^5 = 2^(3x+2)}}} 
{{{4^5 = 2^(3(8/3)+2)}}}
Cancel the 3
{{{4^5 = 2^(8+2)}}} 
We know already that 
{{{4^5 = 2^10}}}