Question 27598
Write the numbers on the Right Hand side in terms of the numbers on the Left hand Side
We know that 125 = 5*5*5
and 27 = 3*3*3

SO {{{(3/5)^X =5*5*5/(3*3*3)}}}
{{{(3/5)^X = (5/3)^(3)}}}

But we know that {{{1/a = a^(-1)}}}

So re-writing the left hand side we get
{{{(3/5)^X = (3/5)^(-3)}}}

which means X = -3  :-)