Types of logarithm

1. Natural logarithm
2. Common logarithm

Natural logarithm

Natural logarithms are the log with base ‘e’, It is represented by ln

Therefore, ln =log_e.

‘e‘ is the Euler number, whose value is 2.718.

Example:

e^x = 4 implies log_e 4 = x implies ln 4 = x.

Common logarithm

Common logarithms are the log with base 10; it is represented by ‘log’

Therefore, log₁₀ = log

Logarithm with base 10 is always represented as the logarithm with no base.

Example:

10³ = 1000 implies log₁₀ 1000 = 3 implies log1000 = 3.