Question

How do you simplify ln(lne^e^10) it's supposed to be 'e' raised to the power of 'e' which is again raised to the power of 10.?

Answer 1

Hello,

$ln(ln((e^e)^{10}))\\ = ln( ln(e^{10*e}))\\ =ln(10*e*ln(e))\\ =ln(10*e*1)\\ =ln(10)+ln(e)\\ =ln(10)+1 \\ =3,30258509...$