Laws of logarithms

There are some important laws of logarithms that are useful to know. These can be derived from the laws of indices.

These laws tell us how to:

flashcards

Question	Answer
What is the relationship between the laws of logarithms and the laws of indices?	The laws of logarithms can be derived from the laws of indices.
What operation corresponds to \log A + \log B?	It corresponds to \log (A \times B).
What operation corresponds to \log A - \log B?	It corresponds to \log \left( \frac{A}{B} \right).
What is the effect of multiplying a logarithm by a constant n, i.e. n \log A?	It corresponds to \log (A^n).