1. Exponent Laws & Exponential Equations
Exponents and Logs 1
Suggested Practice
Haese & Harris 3rd Ed (on Moodle)
Chapter 3: pages 84 – 94
Exercises: 3B, 3C, (3D) 3E

2. Exponential Expressions
An exponential expression is anything that takes the form:
Read as “a to the power of n ” or simply “a to the n ”
Where
“a” is the base
“n” is the power or the exponent or index, and it is the variable

3. Laws of Exponents (Rules of Indices)

4. More Laws of Exponents

5. Simplify the following (factor or express as a single fraction, or a single term):
b..
d..
c..

6. Exponential Equations
The general form of an exponential equation is:
Where a and b are constants and x is the variable
Steps for solving an exponential equation:
Solve for x: bx = N
Step 1: Express the number N in the form bnumber
Step 2: Write the equation bx = bnumber
Step 3:Equate exponents, x = number

7. Solve the following exponential equations (solve for “x”):

8. Property of Equality for Exponential Equations
If an equation has the form then
In other words…
If the bases are _______, the exponents are ________
(b >0, b ≠ 1)
Example:
Solve: