Question 1082386
{{{ (8e^x -3)^3 = 125 }}}
Take cube-root of both sides:
{{{ 8e^x - 3 = 5 }}}       
Bring 3 over to right hand side:
{{{  8e^x = 8 }}}
The purely mechanical process is to take ln() of both sides, BUT, we can just
compare left and right sides to see {{{ e^x = 1 }}}
{{{  e^x = 1 }}}
{{{ highlight( x = 0) }}}