Quick answer
A logarithm answers the question: what exponent is needed to obtain a number?
- Main formula
- log_b(a) = c means b^c = a.
- Quick example
- If 2³ = 8, then log₂(8) = 3.
Definition
A logarithm answers the question: what exponent is needed to obtain a number?
Main idea
log_b(a) = c means b^c = a.
Example
If 2³ = 8, then log₂(8) = 3.
How to study it
Write the known values, identify the operation, substitute carefully and check the result with the inverse idea when possible.