Question 111418
{{{e^(6^y) = 25}}} 
{{{6^y = ln(25)}}} Take the natural log of both sides.
{{{y=log(6,ln(25))}}}Take the log base 6 of both sides.
{{{y=log(10,ln(25))/log(10,6)}}}Change from log base 6 to log base 10.
{{{y=0.5077/0.7782}}}Substitute values. 
{{{y=0.6524}}}
Check your answer
{{{6^(.6524) = 3.2186 }}} 
{{{e^(3.2186) = 24.9931 }}} 
Close enough.