Study Guide for 8.3-8.6
8.3
The Number
e

Use a calculator to find values of expressions with real exponents
Identify exponential growth and exponential decay functions
Simplify expressions with real exponents

Sketch graphs of exponential functions:




8.4
Algebra II
y  a e
af
r x-h
k
Identify the parameters a, r, h, & k and how they affect the exponential function
Identify the domain and range of an exponential function
Logarithmic Functions
 Common logarithm and natural logarithm notation
 Use a calculator to find values of common logs and natural logs
 Find the inverse of a logarithmic function
 Evaluate expressions by using the logarithmic identity functions
logb y  x  b  y
x
logb b  x
log x
b
 x
logb b  1
logb 1  0
x




b

8.5
Properties of Logarithms
 Know the following properties and when and how they are defined
 Product property of logarithms
 Quotient property of logarithms
 Power property of logarithms
 Change of base
 When given values of logs, be able to use these values and the properties of
logarithms to evaluate the expressions
 Expand and condense logarithmic expressions
 Use a calculator and the change of base property to evaluate a logarithmic expression
with different base
8.5
Solving Exponential Equations
 Solve equations with variables as exponents when the bases can be equal using
b b
x
y
 xy

Solve equations with variables as exponents when the bases cannot be equal
Solve equations with logarithms having the same base
Solve equations that involve logarithms on one side of the equation

Check for extraneous roots, knowing that for


logb x  y that x  0
Note: On all problems, show steps and use correct notation
Memorize all properties and procedures/strategies

p485 #7-14 all
p508 #1-17 all
p525 #17-35 all
(45 points)