Question 815039
{{{(1/7)(8log((x))+log(( y)))}}}
Using the {{{n*log(a, (p)) = log(a, (p^n))}}} property on the first log:
{{{(1/7)(log((x^8))+log(( y)))}}}
Using the {{{log(a, (p)) + log(a, (q)) = log(a, (p*q))}}} to combine the logs:
{{{(1/7)(log((x^8 * y)))}}}
Using the {{{n*log(a, (p)) = log(a, (p^n))}}} property what's left:
{{{log(((x^8 * y)^(1/7)))}}}
(Optional) Rewrite the fractional exponent using a radical:
{{{log((root(7, x^8 * y)))}}}