Common Logarithm

About this exercise

Logarithms to base 10.

Example problems

A few of the problems this exercise asks. The printable worksheet holds ten fresh ones.

  1. log(100) = ?
  2. log(1) = ?
  3. log(100000) = ?
  4. log(0.1) = ?

Try it yourself first — open a section below only if you get stuck.

How to solve it

For a power of ten, the logarithm simply counts the zeros.

Worked example

The log of 1000 is 3, because 10 cubed is 1000.

Common mistake

Counting all the digits instead of the zeros. 1000 has four digits but only three zeros, so the logarithm is 3.