Question 1087107
{{{ 3^(6x)=5^(7x-6) }}}

Take the natural log of both sides,
{{{6x*ln(3)=(7x-6)*ln(5)}}}
{{{7ln(5)*x-6ln(3)*x=6ln(5)}}}
{{{x(7ln(5)-6ln(3))=6ln(5)}}}
{{{highlight(x=(6ln(5))/(7ln(5)-6ln(3)))}}}