# How do you write #log_14 196=2# in exponential form?

##### 2 Answers

#### Explanation:

Suppose you had

They would call this log to base

Then it means:

'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Note that

So:

You normally see this written as

So you could have

The last one is quite often used in computer software and in higher maths.

'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Note that

Look at Equation(1) and you will observe that

as in

Any value (apart from 0) raised to the power of 0 has the value 1

Consider:

#### Explanation:

Changing from log from to index form can be done by purely following the definition.

Remember:

"The base stays the base and the other two change around"