# How do I find the value of #log 1000#?

##### 2 Answers

The answer is 3.

You can do this in 2 different ways.

One is to just plug it in your calculator, and the other is by hand.

By hand, you need to know that

Therefore, if you rewrite the problem as such, you get:

From here, it would be a lot easier to solve this problem by converting the logarithm into exponential form (which is simply something with an exponent, like

To understand how to do this, refer to the image below:

So therefore we can rewrite the problem as:

And if you know your exponents right, you'll know that

Hence, the answer is 3.

To know more about how logarithms work, please refer to my explanation in this other answer I contributed to.

Hope that helps :)

#### Answer:

#### Explanation:

Think of an expression given in log form as asking a question.

Logs are very closely linked to indices (powers).

(If no base is given, it is always 10.)

In

"What index (power) of

OR

You should know that our number system is based on.

So we can say that "10 raised to the power of 3 is 1000"

Using this to answer the log question gives:

In the same way:

Can you explain why the following are true?