SOLUTION: hello tutors: How would you solve the log base of 125^1/5...when I did it I got an answer of x=1/3 but my teaching book has the answer as x=-1/3... can I have a step by step help w

Question 1056810: hello tutors: How would you solve the log base of 125^1/5...when I did it I got an answer of x=1/3 but my teaching book has the answer as x=-1/3... can I have a step by step help with this one...thanks tutors for all your help.
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
How would you solve the log base of 125^1/5...when I did it I got an answer of x=1/3 but my teaching book has the answer as x=-1/3...
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log base of 125^1/5 makes no sense, you don't show an x anywhere.
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If you mean log(1/5) base 125:
Put it in exponential form:
125^x = 1/5 - solve for x
--> 125^(1/3) = 5 right?
125^(-1/3) = 1/5

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