Propiedades de los logaritmos

$\log_b(x)=y \iff b^y=x$
$\log_{10}(x)=\log(x)$
$\log_e(x)=\ln(x)$

$\log(a \cdot b)= \log(a)+\log(b)$
$\log( \dfrac{a}{b} ) = \log(a) - \log(b)$
$\log(a^n)=n \cdot \log(a)$

En particular:
$\ln(1)=0 | \ln(e)=1| \ln(e^n)=n$