Question 173508
{{{2 * 3^x =7 *5^x}}}
{{{2/7 = 5^x/3^x}}}
{{{2/7 = (5/3)^x}}}
{{{log(2/7) = x * log(5/3)}}}
{{{-0.5441 = x * 0.2218}}}
{{{-2.453 = x}}}

check your answer
Does {{{2 * 3^(-2.453) = 7 * 5^(-2.453)}}}?
{{{2/(3^(2.453)) = 7/(5^2.453)}}}?
{{{0.1351 = 0.1351}}} 
close enough !