SOLUTION: can you please provide me an explanation of why the change of base formula can be proven. I need to provide proof why this works and I am having trouble finding the answer!!! Thank

Question 35550: can you please provide me an explanation of why the change of base formula can be proven. I need to provide proof why this works and I am having trouble finding the answer!!! Thank you for any help you provide.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Let y=log(baseA)B
Then A^y=B
Take the log(baseC) of both sides to get:
log(baseC)A^y=log(baseC)B
Using the law of logs which says logA^n=nlogA you get:
y(log(baseC)A = log(baseC)B
y= [log(baseC)B/[log(baseC)A}
Therefore log(baseA)B = [log(baseC)B]/[log(baseC)A]
Cheers,
Stan H.
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