SOLUTION: Express {{{e^(log(4,x))}}} as a power of x.

Use the change of base formula, where NEW and OLD refer to the
NEW and OLD bases:



We want to use that to change  from OLD base 4 
to NEW base e:



And we realize that  is the same as 

So

 

And therefore



becomes



We write that quotient exponent  as a product 



Now we use the rule 



Next we use the rule  to write the above as



and that is a power of x.

Edwin