Solving Exponential Equations
WHAT YOU ALREADY KNOW
In Algebra 1 you have learned how to solve system of equations graphically.
In Algebra 2 you have learned that these equations can be of any form like quadratic functions.
In Pre Calculus the ESSENTIAL QUESTION: How can you find the solution set of equations that involve exponential and logarithmic expressions?
Below is an example to remind you what you used to do in Algebra 1 and 2.
WHAT YOU WILL HAVE TO EXPLORE?
Given the two functions : and .
What is the solution set when f(x)= g(x) ?
Use the graph below to discover.
Answer the following based on the graph above
The solution set of f(x) and g(x) is :
Task 1: Exploring how to solve exponential equations with same base
Write down the steps for the solution below.
Are the steps above mathematically correct?
IDEA 2: Solving natural exponential equations with different base
Try On your own:
Solve the following equation on your notebook
Pick up the right answer from below
Choose the best answer