Download AA wTrig 8.2 Notes Glex

Advanced Algebra w/Trigonometry
Notes Section 8.2 – Solving Exponential Equations
Target Goals: 1. I can solve
exponential equations.
Definition of an exponential function: An equation of the form,
y  ax
where a > 0 and a  1 , is called an
exponential function.
Property of equality for exponential functions: Suppose a is a positive number other than 1. Then
a x1  a x2 if and only if x
1
 x2
When solving an equation that has the variable located in the exponent, you must get the same base first!
Note: Properties of exponents and rules for simplifying radicals play a large role in this chapter.
_________________________________________________________________________________________
Simplify each of the following expressions
1.
5 2 5
3.
27 5  3
2.
 
4.
7 6 x  7 2 x 20
3
5
6
5
2
3
x
5. 9  3
7.
2
6.
 22 x1  42 x2
2n
9.
 1 
    5n5
 25 
HW #1: Worksheet #1
8.
33  27 m1
16 2 n1 
1
32