Question

What is a logarithm?

Answer 1

The logarithm base `b` of a number `n` is the number `x` that when `b` is raised to `x`th power, the resulting value is `n`

`log_b n = x <=> b^x = n`

Example:

`log_2 8 = x`

`=> 2^x = 8`
`=> 2^x = 2^3`
`=> x = 3`

`log_5 1 = x`
`=> 5^x = 1`
`=> 5^x = 5^0`
`=> x = 0`