SOLUTION: express as a single logarithm & simplify if possible: 1/4 log b x+21log b y-5log b x=

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Question 689971: express as a single logarithm & simplify if possible:
1/4 log b x+21log b y-5log b x=
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
%281%2F4%29%2Alog%28b%2Cx%29%2B21%2Alog%28b%2Cy%29-5log%28b%2Cx%29

=log%28b%2C%28%28x%5E%281%2F4+%29y%5E21%29%2Fx%5E5%29%29

=log%28b%2C%28%28x%5E%281%2F4-5+%29y%5E21%29%29%29.......since 1%2F4-5=1%2F-20%2F4=-19%2F4, we have

=log%28b%2C%28%28x%5E%28-19%2F4+%29y%5E21%29%29%29

=log%28b%2C%28y%5E21%2Fx%5E%2819%2F4%29%29%29%29

=log%28b%2C%28y%5E21%2Froot%284%2Cx%5E19%29%29%29

=log%28b%2C%28y%5E21%2F%28x%5E4%2Aroot%284%2Cx%5E3%29%29%29%29