# How do you calculate #log_2 512#?

##### 3 Answers

#### Explanation:

Notice that 512 is

By the Power Rule, we may bring the 9 to the front of the log.

The logarithm of a to the base a is always 1. So

the value of

#### Explanation:

we need to calculate

since

#### Explanation:

Powers of numbers can be written in index form or log form.

They are interchangeable.

I think of log form as asking a question. In this case we could ask:

"Which power of

or

"How can I make

We find that

Similarly:

In this case we have:

The powers of

(From

There is a real advantage in learning all the powers up to