A logarithm answers the question "How many of one number do we multiply to get another number?"

Example How many 2s need to be multiplied to get 8?

Answer: 2 × 2 × 2 = 8, so we had to multiply 3 of the 2s to get 8

We say the logarithm of 8 with base 2 is 3

In fact these two things are the same:

Example How many 2s need to be multiplied to get 8?

Answer: 2 × 2 × 2 = 8, so we had to multiply 3 of the 2s to get 8

We say the logarithm of 8 with base 2 is 3

In fact these two things are the same: