# How do you express #log_2 5# in terms of common logs?

##### 1 Answer

Apr 5, 2018

#### Answer:

#### Explanation:

I am assuming by **common logs** this means base 10.

If:

Suppose we wish to express this using a different base. Let's say to a base

From:

Take logarithms to the base

Divide by

From above:

This is the change of base formula: