Introduction to Logs

Logarithm is another word for index/power. The logarithmic function is the inverse of the exponential function.

in general it works as - a^x = y → log_ay = x

a is the base, x is the power, y is the result

now with numbers…

the exponential 2³ = 8 as a logarithm is log₂8 = 3

2 is the base, 3 is the power, 8 is the result

BASE 10

The most common base is base 10, and is usually omitted (left out). So they just write log x, when they mean log₁₀x

example

2⁵ = 32 as a log is ‘log₂32 = 5

‘2⁰ = 1’ as a log is ‘log₂1 = 0’