# What is the difference between log and ln?

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I was told that it's basically the same thing and can be used interchangeably, but if it's the same, what is the point of having another one? To reword it, if log and ln is the same, why use ln over log and vice versa? When should I use log/ln?

Thank you in advance.

I was told that it's basically the same thing and can be used interchangeably, but if it's the same, what is the point of having another one? To reword it, if log and ln is the same, why use ln over log and vice versa? When should I use log/ln?

Thank you in advance.

##### 2 Answers

Usually

**They are not the same!!** They are both logarithms, but they are different logarithms.

#### Explanation:

There's a **huge** difference between log and ln!

A logarithm is a form of math used to help solve the following sort of problems:

The question you're asking here is **to what power do I need to raise #a# to get #b#?** This exact thing can be said using logarithms (as shown below):

The relationship between logarithms and exponents is described below:

That value **base**, and it can vary based on what problem you're trying to solve.

When you have a base 10, then it's convention to just drop the base from the notation, since it's implied that you're talking about a base of 10.

So

When you have a base

So

As you can see, **are not the same thing!** They involve the same *concept*, and are both logarithms, but they are still different things.

I made a video about logarithms, if you're interested:

Hope that helped :)