SOLUTION: Convert the fallowing expression a^(1/ln a) using base e, for a > 0 and a≠1. So i know how to convert the simple equations but im having difficulty converting like this one

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Question 896086: Convert the fallowing expression a^(1/ln a) using base e, for a > 0 and a≠1. So i know how to convert the simple equations but im having difficulty converting like this one
Answer by Edwin McCravy(20063)   (Show Source): You can put this solution on YOUR website!


Let x equal to the expression:



Take natural logarithms of both sides:



Use the rule of logarithms 







Use the fact that the natural log equation  
is equivalent to the exponential equation 





Answer: it simplifies to e.

Edwin
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