Learning Objectives:

__Math Tutoring on Solving Applications Using Logarithmic Equations__

To solve **exponential **or** logarithmic** word problems, we have to convert the narrative to an equation and solve the equation. There are several types of **word problems,** e.g.

**1. Interest Rate Problems **

**2. Mortgage Problems **

**3. Population Problems **

**4. Radioactive Decay Problems **

**5. Earthquake Problems **

There are really two types of **log equations** the first type is when you have an equation that has only **two logs** of the **same base**. If that is the case, we set the **logs** equal to each other and solve. Now, we do have to check our answers, because the argument of the** log** has to be greater than zero. So if we obtain a value that makes this less than or equal to zero, we have to exclude it. Now, there are guidelines for solving the more general type of **log equation** and here are the steps. If there is more than one **log,** combine them using the properties of **logs **and then we need to isolate the **single log.** Then we are going to write the equation in **exponential form.** We need to solve and check.

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**Hook Questions**:

*1. Why do we use logs? *

*2. What is a logarithmic scale? *

*3. What is the use of exponential function? *

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