Step 1 :\(e^6 = y\) can be rewritten as \(\log_e(y) = 6\)
Step 2 :Since the base e is the natural logarithm, we usually write it as ln, so the final answer is \(\ln(y) = 6\)
Step 3 :\(\ln(x) = 4\) can be rewritten as \(e^4 = x\)
Step 4 :So, the final answer is \(x = e^4\)
Step 5 :The final answers are \(\boxed{\ln(y) = 6}\) and \(\boxed{x = e^4}\)