# The Value of Log Operations Worksheets

This is math that you do not see often spelled out for you. We felt it was very important to us to help these students help transition to use these in much more complex operations. We isolate skills that are normally taught in a much more complex problem environment. These worksheets will teach you how to add and subtract the value of logs that are undergoing several operations.

### Aligned Standard: HSF-LE.A.4

- Advanced Integers Step-by-Step Lesson- This section has slightly more difficult number to work with than the exponential sheets that I created.
- Guided Lesson - Finding sums and differences should not be that difficult, now should it?
- Guided Lesson Explanation - I tried to sum up the strategy that is used at the top of the first paper.
- Practice Worksheet - I might have wanted to call this section sums and differences of logs, but I chose the more formal approach.
- Matching Worksheet - Find the final overall value of these operations.
- Determine the Value of a Log Worksheet Five Pack - It's more like simplify or determine the final outcome.

- Answer Keys - These are for all the unlocked materials above.
- Homework - We give you some practice that you can take home and work on.
- Quiz - A good way to determine if you understand the work.

### How to Calculate the Value of Log Operations

Much before calculators and computers, logarithmic tables were used to solve the log values. These tables may seem like a challenge to use, but they are an efficient way to solve logarithm values and quickly doing larger multiplication problems.

Here we have discussed some ways to help you calculate values using these tables: First things first, you need to choose the right log table before looking for the log values. The base-10 log table is the most commonly used. To find log_{a}(n), you need a log_{a} table. For instance, you are given log_{10}(23.63). You will need a base-10 or a common log table.

Once you have figured out the right table, you will need to look for the right cell to find out the value. First, look for the two with the first two digits of the given number. Move on to the column header labeled with the third digit. In the above example, log_{10}(23.63), you will first look for row 23, and move to column 6 the values present at this intersection is your correct log value.

### Where Do We Use This Type of Math?

Regardless of where this is used finding sums of logarithm values are used to sum up the overall status of a system of some type. Differences between these values are used to strike a comparison of this status. Logarithms are math operations that indicate the number of times a number must be multiplied by itself to reach another value. You will often see them involved in any process that has a high level of amplification and differences in values by magnitudes of 10 or much greater.

You will often see this type of notation in the science world. Geologists use it to measure the power of an earthquake using something called the Richter scale. Chemists use it to classify a solution as an acid or base based on how the relative measure of free hydrogen and hydroxyl ions in water. If you go to space camp, you will quickly learn that this form of math is used to classify the brightness of stars and it allows us to compare the relative distance away from us that they are.