SOLUTION: Question with logarithms: Hi I'm wondering something about logarithms. I have this equation to prove which looks like this: b ^ log_b (x) = x Where ^ means exponent and _ means sub

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Question with logarithms: Hi I'm wondering something about logarithms. I have this equation to prove which looks like this: b ^ log_b (x) = x Where ^ means exponent and _ means sub      Log On


   

Question 42403: Question with logarithms: Hi I'm wondering something about logarithms. I have this equation to prove which looks like this: b ^ log_b (x) = x Where ^ means exponent and _ means subscript.
Answer by fractalier(6550) About Me  (Show Source):
You can put this solution on YOUR website!
Yes...what that shows you is that exponentiating to the base b and taking the log to the base b (where b>0) are inverse operations...that is, they undo each other...
If you take the log of both sides you get
b ^ log_b (x) = x
log_b(b ^ log_b (x)) = log_b (x)
log_b (x) = log_b (x)