# How do you evaluate #log 100#?

##### 3 Answers

To evaluate this you use the definition of a logarithm.

You also have to assume that if no base

So in the example you have

Now you can easily find that

So the answer is

#### Explanation:

Keep in mind that when there is no base written, it is assumed to be a base of

Then that means

Also, you can use the power rule.

which is equal to

#### Explanation:

It might help to compare the two notations:

**Index form** and **log form.**

#a^b = c hArr loga_c =b#

Index form makes a statement:

Log form asks a question.....

"What power of

In the same way..