Question

How can i show that:

a^x=e^(x*ln(a))

Answer 1

you don't really show it, that is the definition of \(a^x\)

Answer 2

but i suppose you could write
\[\large e^{x\ln(a)}=e^{\ln(a^x)}=a^x\]

Answer 3

But i didnt understood it very well... why is that