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

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

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) (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)
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