\( \definecolor{colordef}{RGB}{249,49,84} \definecolor{colorprop}{RGB}{18,102,241} \)
Solve the following equations for \(x\) without using a calculator.
  1. \(e^x = 1 \implies x=\)
  2. \(e^x = e^5 \implies x=\)
  3. \(e^x = -3 \implies\)