Table of contents |

2 Multiplication, division and exponentiation 3 Logarithms and exponential functions are inverses 4 Change of base formula 5 Limits 6 Derivative 7 Integral |

- log
_{c}(ab) = log_{c}a + log_{c}b - log
_{c}(a/b) = log_{c}a - log_{c}b - log
_{c}(a^{r}) = r log_{c}(a) for all real numbers r

- lim
_{x->∞}log_{a}(x) = ∞ if a > 1 - lim
_{x->∞}log_{a}(x) = -∞ if a < 1

- lim
_{x->0}log_{a}(x) * x^{b}= 0 - lim
_{x->∞}log_{a}(x) / x^{b}= 0

- ∫ log
_{a}(x) = x log_{a}(x) - log_{a}(x)