
Solving Exponential Equations Using Logarithms
Presentation
•
Mathematics
•
11th Grade
•
Hard
James Gonzalez
FREE Resource
8 Slides • 15 Questions
1
Solving Logarithm Equations
By Dr KEE CH
2
Draw
Attach an exponent to the base number to make the equation true.
3
Learning objectives:
Student will be able to choose the correct law of logarithm to solve equations.
Student will be able to relate the key links between logarithms and exponentials.
Student will be able to apply solving exponential and logarithm equations to real world situations.
4
Quick recap
5
Change of base
6
Draw
Rewrite log25 to base 10
7
Draw
Rewrite log25 to base 9
8
Draw
Use the change of base formula to evaluate each expression. Round to four decimal places. Show your work. log261
9
Draw
Use the change of base formula to evaluate each expression. Round to four decimal places. Show your work. log11136
10
Solve equation algebraically.
11
Draw
12log(3x−1)=36
12
Draw
4log5(x−1)−3=9
13
Draw
log18(10−2b)=log18(5b−4)
14
Collaboration time!
Click on the link and go to Jamboard
15
Check your understanding!
16
Multiple Choice
ln(4)≈
1.386
1.863
1
4
17
Multiple Choice
Without using your calculator... log(100)=
1
2
1.5
3
18
Multiple Choice
log3v=4
12
7
81
4
3
19
Multiple Choice
log5(a−5)=−2
5.04
5
-2
0.04
-4.96
20
Multiple Choice
log1827=log18r
27
486
1.5
0.67
18
21
Multiple Choice
Convert this equation 198 = x, to Logarithmic Form.
Log8x = 19
Logx19 = 8
Log8x = 19
Log19x = 8
22
The base of the log is 10 and the base of the the exponent is also 10.
23
Draw
What is your key takeaway from today's lesson?
Solving Logarithm Equations
By Dr KEE CH
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