# Math Help - Help with Logs

1. ## Help with Logs

e^ln2 = 2

Is this correct? if so, can anoyone explain it to me please, I can see how perhaps the e and ln cancel each other out (being inverses)?

Thanks.

2. Hello,
Originally Posted by Ant
e^ln2 = 2

Is this correct? if so, can anoyone explain it to me please, I can see how perhaps the e and ln cancel each other out (being inverses)?

Thanks.
Yes it's because they're inverses.

$\forall x \in \mathbb{R}, ~ \ln(e^x)=x$

$\forall x \in (0,+\infty),~ e^{\ln(x)}=x$