> For the complete documentation index, see [llms.txt](https://acristea.gitbook.io/bti-suport-seminar/llms.txt). Markdown versions of documentation pages are available by appending `.md` to page URLs; this page is available as [Markdown](https://acristea.gitbook.io/bti-suport-seminar/utile/logaritmi.md).

# Logaritmi

$$
log\_ab=\frac{lgb}{lga}
$$

$$
log\_a xy = log\_a x + log\_a y
$$

$$
log\_a \frac {x}{y} = log\_a x - log\_a y
$$

$$
log\_ax^n=n\*log\_a x
$$

$$
log\_ab = \frac{log\_cb}{log\_ca}
$$

$$
log\_ab=\frac{1}{log\_b a}
$$

$$
log\_a1=0
$$

$$
log\_a a = 1
$$

$$
log\_aa^r = r
$$

$$
log\_a\frac{1}{b}=-log\_ab
$$

$$
log\_\frac{1}{a}b=-log\_ab
$$

$$
log\_ab\*log\_bc=log\_ac
$$

$$
log\_{a^m} a^n=\frac{n}{m}, m \neq 0
$$

​