Question 1059802
Use like bases to solve the exponential equation for x.
256 · 4^(9x + 3) = 64 
<pre>{{{256 * 4^(9x + 3) = 64}}}
{{{4^4 * 4^(9x + 3) = 4^3}}} ------ Converting 256 and 64 to base 4
{{{4^(4 + 9x + 3) = 4^3}}} ------ Applying {{{a^b * a^c = a^(b + c)}}}
4 + 9x + 3 = 3 ------- Bases are equal and so are the exponents
7 + 9x = 3
9x = - 4
{{{highlight_green(x = - 4/9)}}}