Thread: [SOLVED] simple natural log with function e

1. [SOLVED] simple natural log with function e

Hi,
can someone explain why: $\displaystyle 2e^{-ln(2)}=1$
I understand what the answer would be if the negative wasn't there.
Thanks,
Matt

2. 1) $\displaystyle a^{-x} = \frac{1}{a^x}$
2) $\displaystyle e^{ln(x)} = x$

Or also, $\displaystyle a \cdot ln(x) = ln(x^a)$

3. Two basic properties of the exponential function and its inverse...

$\displaystyle \forall a > 0$ , $\displaystyle e^{\ln a} = a$ (1)

$\displaystyle \forall b$, $\displaystyle e^{-b} = \frac{1}{e^{b}}$ (2)

Kind regards

$\displaystyle \chi$ $\displaystyle \sigma$

4. haha wow, I can't believe I forgot something that simple in regards to the negative power. Thanks for the help guys!