Evaluate the expression e^In pi?

Question

Evaluate the expression

Answer 1

Let the solution be y.  So, y = e^ln(π)

Apply the natural log to both sides.  ln(y) = ln{e^ln(π)}

Here, ln{e^ln(π)} = ln(π)·ln(e) and ln(e) = 1

So, ln(y) = ln{e^ln(π)} = ln(π)·ln(e) = ln(π)  Thus, ln(y) = ln(π)

Answer: e^ln(π)** = π (= 3.141592653…)

** in this expression (π) can be replaced by any positive real numbers. 

For example, e^ln(AX²) = AX²