i was told that b^logb(x) = x
but i dont know how to prove it.

2. Originally Posted by imthatgirl
i was told that b^logb(x) = x
but i dont know how to prove it.
You should know that $\log_A B = C \equiv A^C = B$ by definition.

Let $b^{\log_b x} = C$. Then using the above you have $\log_b C = \log_b x$. Therefore $C = x$.

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### prove of inverses of logs

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