Question 878647
{{{4^(2x) = 8^(3x-4) }}}



{{{(2^2)^(2x) = (2^3)^(3x-4) }}}



{{{2^(2(2x)) = 2^(3(3x-4)) }}}



{{{2(2x) = 3(3x-4) }}} Since the bases are equal, this means the exponents are equal.



{{{4x = 9x-12 }}}



{{{4x-9x = -12 }}}



{{{-5x = -12 }}}



{{{x = -12/(-5) }}}



{{{x = 12/5 }}}