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

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