Logarithm

Definition of Logarithm

In its simplest form, a logarithm answers the question :

How to Write it

So these two things are the same :

The number we are multiplying is called the “base”, so we can say :

Notice we are dealing with three numbers :

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Exponent of Logarithm

The exponent says how many times to use the number in a multiplication.

Example 1

So a logarithm answers a question like this :

In this way :

The logarithm tells us what the exponent is!

So the logarithm answers the questions :

What exponent do we need

(for one number to become another number?)

The general case is :

Example 2

Example 3

Example 4

Here are the examples with solutions :

Example 5

Example 6

References :

• https://www.mathsisfun.com/algebra/logarithms.html