SOLUTION: if log base a of x equals c and log base b of x equals c, what is log base ab of x equal to?

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: if log base a of x equals c and log base b of x equals c, what is log base ab of x equal to?      Log On


   

Question 172528: if log base a of x equals c and log base b of x equals c, what is log base ab of x equal to?
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
if log base a of x equals c and log base b of x equals c, what is log base ab of x equal to?
-------------
If the logs of x are equal, then a = b.
ab = a^2
So log%28ab%2Cx%29+=+c%2F2
Is that sufficient? If not, I can provide a more detailed explanation.