SOLUTION: Write as a single logarithm 1/7[8Log x +log y]

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Question 815039: Write as a single logarithm
1/7[8Log x +log y]
Answer by jsmallt9(3758) About Me  (Show Source):
You can put this solution on YOUR website!
%281%2F7%29%288log%28%28x%29%29%2Blog%28%28+y%29%29%29
Using the n%2Alog%28a%2C+%28p%29%29+=+log%28a%2C+%28p%5En%29%29 property on the first log:
%281%2F7%29%28log%28%28x%5E8%29%29%2Blog%28%28+y%29%29%29
Using the log%28a%2C+%28p%29%29+%2B+log%28a%2C+%28q%29%29+=+log%28a%2C+%28p%2Aq%29%29 to combine the logs:
%281%2F7%29%28log%28%28x%5E8+%2A+y%29%29%29
Using the n%2Alog%28a%2C+%28p%29%29+=+log%28a%2C+%28p%5En%29%29 property what's left:
log%28%28%28x%5E8+%2A+y%29%5E%281%2F7%29%29%29
(Optional) Rewrite the fractional exponent using a radical:
log%28%28root%287%2C+x%5E8+%2A+y%29%29%29