SOLUTION: log8 fifth root of 8

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Question 111420: log8 fifth root of 8
Answer by jim_thompson5910(21667) About Me  (Show Source):
You can put this solution on YOUR website!
log%288%2C%28root%285%2C8%29%29%29 Start with the given expression


log%288%2C%288%5E%281%2F5%29%29%29 Rewrite the radical using exponent notation


%281%2F5%29log%288%2C%288%29%29 Now use the identity log%28b%2C%28x%5Ey%29%29=y%2Alog%28b%2C%28x%29%29


%281%2F5%29%2A1 Now evaluate log%288%2C%288%29%29 to get 1


1%2F5 Simplify


So log%288%2C%28root%285%2C8%29%29%29=1%2F5