Question 111420
{{{log(8,(root(5,8)))}}} Start with the given expression



{{{log(8,(8^(1/5)))}}} Rewrite the radical using exponent notation



{{{(1/5)log(8,(8))}}} Now use the identity {{{log(b,(x^y))=y*log(b,(x))}}}



{{{(1/5)*1}}} Now evaluate {{{log(8,(8))}}} to get 1



{{{1/5}}} Simplify



So {{{log(8,(root(5,8)))=1/5}}}