Question 400077
 {{{4^(x-2) = 7^(3x+1)}}}
{{{4^x * 4^(-2) = 7^(3x) * 7}}}
Take the log base 10 of both sides
{{{x*log(4) - 2*log(4)  = 3x*log(7) + log(7)}}}
{{{3x*log(7) - x*log(4) = -2*log(4) - log(7)}}}
{{{x*(log(4) - 3*log(7)) = 2*log(4) + log(7)}}}
{{{x = (2*log(4) + log(7)) / (log(4) - 3*log(7))}}}