simplify e2lnxxSolutionI understand this is the problem Sim

simplify e^(2lnx-x)

Solution

I understand this is the problem : Simplify e^(2lnx^-x)

y = e^(2lnx^-x)

taking natural log on both sides:

ln(y) = 2lnx^-x

Use the log property : ln(a^b) = b*ln(a)

ln(y) = ln(x^-x)^2

ln(y) = lnx^-2x

We can equate the argument inside the log :

y = x^-2x