Question

What is the value of $e^{ln{x}^2}$?

• A. $x^2$
• B. $2x$
• C. $x$
• D. Not possible to simplify

Answer 1

The correct option is A

$x^2$

$ln{x}^2$ has the base as $e$ i.e $ln{x}^2=lo{g}_e{x}^2$

Using identity, $a^{lo{g}_{a}m}=m$

$e^{ln{x}^2}=e^{lo{g}_e{x}^2}=x^2$