Let f(x)=ln(xx)f(x) = \ln(x^x)f(x)=ln(xx). For what value of xxx does the tangent line to f(x)f(x)f(x) have a slope of 222?
x=ex = ex=e
x=1x = 1x=1
x=e2x = e^2x=e2
x=ex = \sqrt{e}x=e