i was told that b^logb(x) = x but i dont know how to prove it. help please?
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Originally Posted by imthatgirl i was told that b^logb(x) = x but i dont know how to prove it. help please? You should know that $\displaystyle \log_A B = C \equiv A^C = B$ by definition. Let $\displaystyle b^{\log_b x} = C$. Then using the above you have $\displaystyle \log_b C = \log_b x$. Therefore $\displaystyle C = x$.
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