Log1/6(5). i am absolutely clueless as to what i'm supposed to do. the 1/6 is below the log.

Question: Evaluate/death stare at .

Let's talk about what logarithms mean.

Suppose .

That's the same thing as . It's just been simplified.
(Logarithms are the inverse operations of exponents)

We can use a calculator to evaluate logarithms that are in base 10.
(In this case, the base is 1/6)

How can we change this so that it uses just base 10?
We can use something called the change-of-base formula.

Here's what the change of base formula looks like.



In this case, we'll set the base to be 10. (you can set it to whatever you want)  is going to be 1/6, and is 5.
When the base is 10, we don't have to write it, it's like a plus zero or a times one.



Punch this into a calculator to find your answer.



You can always check your answer if you need to, of course.

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