Mathematics - Functions - Logarithmic - Introduction to logarithms - What is a Logarithm?

8 steps: (1) log_b(x) = y means b^y = x. 'b to the power y equals x.' (2) Example: log₂(8) = 3 because 2³ = 8. (3) Example: log₁₀(1000) = 3 because 10³ = 1000. (4) Common log: log(x) means log₁₀(x). Used for pH, decibels, Richter scale. (5) Natural log: ln(x) means log_e(x). Used in calculus and sci