# How do you evaluate #log_2 (1/2)#?

##### 2 Answers

#### Explanation:

Written in this form, it helps to read it as a question ...

"What power of

We should realise that

Log form and index form are inter-changeable.

So,

In the same way, can you answer the following instantly?

In reverse order the answers are:

-1

#### Explanation:

Let

Another way of writing this is:

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

AS an example compare to

This is

So any value written as say

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

So by comparing to the example:

Thus equation(1) is