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

Algebra ->  Exponents -> 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      Log On


   



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) About Me  (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...
============
log base of 125^1/5 makes no sense, you don't show an x anywhere.
----
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
log%28125%2C1%2F5%29+=+-1%2F3