SOLUTION: find the value of the expression log 1/625 5

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Question 111760: find the value of the expression
log 1/625
5
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
log%285%2C%281%2F625%29%29 Start with the given expression


log%285%2C%285%5E%28-4%29%29%29 Rewrite 1%2F625 as 5%5E%28-4%29


-4%2Alog%285%2C%285%29%29 Use the identity log%28b%2C%28x%5Ey%29%29=y%2Alog%28b%2C%28x%29%29


-4%2A1 Now evaluate log%285%2C%285%29%29 Remember log%28x%2C%28x%29%29=1


-4 Multiply


So log%285%2C%281%2F625%29%29=-4