Basic Logarithm

Free interactive math game: Basic Logarithm — log₂(16) = 4. Part of the Logarithms category on MathKite.

Example problems

Taken from the generator that powers this exercise. A fresh set appears every time the page is opened, and the printable worksheet holds ten of them.

  1. log_2(16) = ?
  2. log_2(4) = ?
  3. log_5(125) = ?
  4. log(1000) = ?

About this exercise

A logarithm — the exponent that a base must be raised to.

How to solve it

Ask what power of the base gives the number. Every logarithm is an exponent question in disguise.

Worked example

The log of 8 to base 2 is 3, because 2 cubed is 8.

Common mistake

Dividing instead. Log base 2 of 8 is 3, not 4.