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?