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QUESTION

# How do I find the value of log 1000?

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 log is the same thing as log_10.

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

log_10 1000 = ?

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 5^2)

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

So therefore we can rewrite the problem as:

10^? = 1000

And if you know your exponents right, you'll know that 10^3=1000

Hence, the answer is 3.

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

Hope that helps :)