Question 111760
{{{log(5,(1/625))}}} Start with the given expression



{{{log(5,(5^(-4)))}}} Rewrite {{{1/625}}} as {{{5^(-4)}}}



{{{-4*log(5,(5))}}} Use the identity {{{log(b,(x^y))=y*log(b,(x))}}}



{{{-4*1}}} Now evaluate {{{log(5,(5))}}} Remember {{{log(x,(x))=1}}}



{{{-4}}} Multiply



So {{{log(5,(1/625))=-4}}}