Algebra 2 Ch.8 Notes Page 49 P49  8­5 Exponential & Logarithmic Equations

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A28­5NotesPart1.notebook
November 09, 2015
Algebra 2
Ch.8 Notes Page 49
P49 8­5 Exponential & Logarithmic Equations
(Part 1)
Aug 19­6:20 AM
Exponential Equations
An equation of the form bcx = a, where the exponent includes a variable,
is an Exponential Equation.
If m and n are positive and m = n, then log m = log n
m
n
3x = 4
73x = 20
Nov 20­7:28 AM
1
A28­5NotesPart1.notebook
November 09, 2015
62x = 1500
Dec 1­10:06 AM
Solving Exponential Equations by Graphing
62x = 1500
Find the Intersection Point.
X = ?
You might have to adjust the viewing window to see where they intersect.
Nov 20­7:29 AM
2
A28­5NotesPart1.notebook
November 09, 2015
2(1.5)x = 6
Dec 1­10:09 AM
Zoology Example
The US population of Bighorn Sheep was 1170 in 1971.
The population was 335 by 1999. What year might only five Bighorn Sheep remain in the US if the decay rate remains constant?
1971 = year 0
Put the data into a list (0, 1170) and (28, 335)
Use Exponential Regression to get the equation.
Y = 1170 x .9563x Nov 20­7:30 AM
3
A28­5NotesPart1.notebook
November 09, 2015
HW #51
8­5 P464 #2,3,6,7,10,11,13,14,17,18,24
Please put your name and class period at the top of
the homework. Also include the homework number.
Aug 19­6:25 AM
Solving Exponential Equations by Tables
Solve to the Nearest 100th
2(1.5)x = 6
Get everything on one side.
Enter 2(1.5)x ­ 6
Look for Sign Change
Nov 20­7:30 AM
4
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