Logs Day 1.notebook
December 21, 2015
Agenda for the day:
Inverse
Exponential
1. Bell Ringer
On the graph paper, graph Graph the INVERSE of Algebraically, find the equation of the INVERSE.
2. Topic for the day: Logarithms!
Jan 21­10:33 AM
Jan 21­10:37 AM
Logarithms
To find the equation of the inverse:
A LOGARITHM IS AN EXPONENT!!!!!!!!!!
You have to use LOGARITHMS!
Example
Exponent
52 = 25
Jan 21­10:38 AM
Logarithm
Log5 25 = 2
Aug 14­8:25 AM
Change the following exponential equations to logarithms.
Change the following logarithms to exponential equations.
Questions
Answers
Correct Answers
Questions
Answers
Correct Answers
1. 2
4
= 16
1.__________________
1. log
2
16 = 4
1. log
3
9=2
1.__________________
1. 3
2
=9
2. 4
5
= 1024
2.__________________
2. log
4
1024 = 5
2. log
2
32 = 5
2.__________________
2. 2
5
= 32
3. 7
3
= 343
3.__________________
3. log
7
343 = 3
3. log
4
64 = 3
3.__________________
3. 4
3
= 64
4. 6
2
= 36
4.__________________
4. log
6
36 = 2
4. log
5
25 = 2
4.__________________
4. 5
2
= 25
5. 5
3
= 125
5.__________________
5. log
5
125 = 3
5. log
7
49 = 2
5.__________________
5. 7
2
= 49
Aug 14­9:05 AM
Aug 14­9:05 AM
1
Logs Day 1.notebook
Evaluating Logarithmic equations
First change the equation into an exponential equation then solve the exponential equation
For example
December 21, 2015
Evaluate the following logarithmic equations and expressions
log2 32
log7 x = 2
log5 125
49
3
5
Evaluate
Log2 x = 3
Change to an exponential equation 23 = x
Solve for x
23 = 8
Therefore x = 8
Aug 14­10:23 AM
log4 x = 5
log7 x = 0
1024
1
Aug 14­10:49 AM
Homework:
Unit 8 HW 1
#3, 5, 6b, 6c 7a, 7c
8c, 9b, 10a
Jan 21­11:33 AM
2