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Logarimteregler:

\(\Large ln(a \cdot b) = ln(a) + ln(b)\)

\(\,\)

\(\Large ln(\dfrac{a}{b}) = ln(a) - ln(b)\)

\(\,\)

\(\Large ln(a^b) = b \cdot ln(a)\)

\(\,\)

\(\Large log_a(b) = \dfrac{ln(b)}{ln(a)}\)

For copy/paste

Markdown / Latex:

$$
ln(a \cdot b) = ln(a) + ln(b)
$$


$$
ln(\dfrac{a}{b}) = ln(a) - ln(b)
$$

$$
ln(a^b) = b \cdot ln(a)
$$

$$
log_a(b) = \dfrac{ln(b)}{ln(a)}
$$