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 logbM = logbN -> M = N The second type looks like logb M = N -> M = bN To solve logarithmic functions, you have to follow some rules; Product Rule: logb(m×n)= logbm + logb n Quotient Rule: logb (m/n)= logb m - logb n You can use this information to solve logarithmic functions. Example: Solve 3=log2x + log25 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 = log2(x+5) We can now apply the type 2 logarithmic function here and the equation becomes; 23 = 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.
the Value Five Pack of Worksheets - Bring all of these math
sentences, if you will, to a conclusion.