### In a nutshell

Logarithms are the inverse of exponentiation. When you ask a question like *what is the log 2 of X ?*, you’re asking *2 raised to what power = X?* Let’s consider some examples:

- log₂8
- 2 raised to what power = 8?
- Answer: 3 (2^3 = 8)

- log₂16
- 2 raised to what power = 16?
- Answer = 4 (2^4 = 16)

- log₂100
- 2 raised to what power = 100?
- Answer: 6.6438561898

- log₃8
- 3 raised to what power = 8?

- log₃20
- 3 raised to what power = 20?