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

Feb 10, 2016

Given fuction is ${e}^{3 \ln x}$
Now, we know the logarithmic identity $\log {m}^{n} = n \log m$
and ${m}^{{\log}_{m} n} = n$

So using the above identities, we can reduce the equation.
${e}^{3 \ln x} = {e}^{\ln} \left({x}^{3}\right) = {x}^{3}$

So there you have it.