5-3 Logarithms

Okay, so this week I am going to explain how to work logarithm problems. This is very simple, although there are a lot of different ways to solve these problems. There are also many different problems that contain logarithms. I am only going to show you a few though. First I am going to give you a few notes that are going to help you along the way.

Notes:

• Logs are another way to write exponents. For example, logb X=a as an exponent is b^a=x/
• To solve a log, you write as an exponent.
• If no base is written it's implied to be 10.
• The base of ln is always e.
• If b and x are equal they cancel along with the log, leaving the exponent as your answer.

Okay, so now that you know a few basic things about logarithms, I am going to work a few example for you.

Example 1: log 100 = x

• Since there is no base number, you automatically assume that the base is 10.
• You then switch it around and get 10^x=100
• Once you do that, you solve for x and you end up with 2.

Example 2: ln x=-1.5

• Since there is no base number, you automatically assume that the base is e.
• You should know that because of the notes I gave you above.
• You then switch is around just like you did in example one and get e^-1.5=x
• You then have to solve for x and you should end up with x=.22 as your answer.

And that is how you work these types of problems. They are very simple and should be easy to learn. Well that is it for this weeek. byeee.

--Halie!