Question 772032
Do you mean this?     {{{log(b,  ((x^7y^2/z^4)^(1/4)))}}}


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You need two (or three) rules about logarithms:

{{{log(b, (x^n))=n*log(b, x)}}};
{{{log(b, (xy))=log(b, x)+log(b, y)}}};
{{{log(b,(x/y))=log(b, x)-log(b, y)}}}