How do you simplify #e^(3 ln(x)) #?

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Feb 10, 2016

Given fuction is #e^(3lnx)#
Now, we know the logarithmic identity #logm^n=nlogm#
and #m^(log_mn)=n#

So using the above identities, we can reduce the equation.
#e^(3lnx)=e^ln(x^3)=x^3#

So there you have it.

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