SOLUTION: Find the value of the logarithmic function. log6(1/6) Thank you!

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: Find the value of the logarithmic function. log6(1/6) Thank you!      Log On


   



Question 627152: Find the value of the logarithmic function.
log6(1/6)
Thank you!

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
log%286%2C%281%2F6%29%29 Start with the given expression


log%286%2C%286%5E%28-1%29%29%29 Rewrite 1%2F6 as 6%5E%28-1%29


-1%2Alog%286%2C%286%29%29 Pull the exponent down


-1%2A1 Evaluate the log base 6 of 6 to get 1.


-1 Multiply


So log%286%2C%281%2F6%29%29=-1

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