Question

How do you simplify `e^(1 + ln x)`?

Answer 1

`e*x`

Explanation:

Use the rule to split up the exponent:

`a^(b+c)=a^b(a^c)`

Thus:

`e^(1+lnx)=e^1(e^lnx)`

Here:

`e^1=e`

`e^lnx=x`

So:

`e^(1+lnx)=e*x`