Question 373931
{{{5^x = 1/125}}}
{{{5^x = (125)^(-1)}}} Substitute {{{125 = 5^3}}}
{{{5^x = (5^3)^(-1)}}} Simplify.
{{{5^x = 5^(-3)}}} The bases are equal, so the exponents are equal.
{{{x = -3}}}
Check:
{{{5^(-3) = 1/125}}}
{{{1/5^3 = 1/125}}} {{{5^3 = 125}}} so...
{{{1/125 = 1/125}}}