Question 848338
{{{2^(3x) = 4^(x+1)}}}

{{{2^(3x) = (2^2)^(x+1)}}}

{{{2^(3x) = 2^(2(x+1))}}}

{{{2^(3x) = 2^(2x+2)}}}

take log base 2 of both sides

{{{3x = 2x+2}}}

{{{x = 2}}}