Question 66005
{{{4^(2x) = 2^(x(x-2))}}}
{{{(2^2)^(2x) = 2^(x(x-2))}}}
{{{2^(4x) = 2^(x(x-2))}}}
{{{4x = x(x-2)}}}
{{{4x = x^2 - 2x}}}
{{{x^2 - 6x = 0}}}
{{{x(x - 6) = 0}}}
{{{x = 0}}}
{{{x = 6}}}
If you plug {{{x = 6}}} in equation
{{{4^12 = 2^24}}}
correct