## Logarithmic Equations

#### Aligned To Common Core Standard:

**High School Functions** - HSF-LE.A.4

How to Solve Logarithmic Equations?
Solving logarithmic functions is a challenge for many students. Before you start solving a logarithmic function, you need to understand its types. There are generally two types of logarithmic functions.
The first type looks like log_{b}M = log_{b}N -> M = N
The second type looks like log_{b} M = N -> M = b^{N}
To solve logarithmic functions, you have to follow some rules;
Product Rule: log_{b}(m×n)= log_{b}m + log_{b} n
Quotient Rule: log_{b} (m/n)= log_{b} m - log_{b} ^{n}
You can use this information to solve logarithmic functions.
Example: Solve 3=log_{2}x + log_{2}5
When you see the equation, you can immediately spot the product rule being applied on it. So, you use the product rule to simplify the equation.
3 = log_{2}(x+5)
We can now apply the type 2 logarithmic function here and the equation becomes;
2^{3} = x+5 | 8 = x + 5 | x = 3
This is how you can use the type 1, type 2, and both rules to solve a logarithmic function.
These worksheets and lessons will help students learn to solve for unknowns within logarithmic equations.

### Printable Worksheets And Lessons

- Solve For x Step-by-Step Lesson- We work on isolating the variable in this equations. Logs sure make it a bit more difficult.
- Guided Lesson
- Three more to test your will on logs and their use in equations.

- Guided Lesson Explanation - I give you a quick refresher on some properties that you need to remember.
- Practice Worksheet
- This picture is what some students thought would be funny to doodle
on their paper when doing this in class.

- Matching Worksheet
- This is a very interesting set of problems for you to work with.

- Calculate
the Value Five Pack of Worksheets - Bring all of these math
sentences, if you will, to a conclusion.