
Logarithmic Inequalities
Presentation
•
Mathematics
•
9th - 12th Grade
•
Hard
Joseph Anderson
FREE Resource
3 Slides • 13 Questions
1
Solving Logarithmic Equations and Inequalities
2
Labelling
Not in Packet
Drag the answers to the correct spot on the graph.
Adam faster
Same swimming time
Kyle faster
3
Dropdown
About how many days after their first competition did the boys have the same swimming time, and what was that time?
These answers are estimates
Around
4
Dropdown
When are Adam's times faster than Kyle's?
These answers are estimates
5
Dropdown
When are Kyle's times faster than Adam's?
These answers are estimates
6
Dropdown
Click on the graph to enlarge it.
Solve the following inequality using graphs on Desmos (pictured on the side).
5-3lnx≤2+7lnx
x
7
Categorize
Page 4 #5
Solve 1106.3 – 27.49 ln(D + 1) < 1152.8 – 35.73 ln(D + 1)
8
Open Ended
Page 4 #6
How does the answer from #5 compare to the answer from #1-3 you found by graphing?
Are they the same? Are they different? Is one exact? Is one an estimate?
9
Match
Page 5 #7 First Box
Kristi deposits $2,640 into an account that pays 3.5% interest compounded quarterly. If Kristi makes no additional deposits and does not make any withdrawals, how long will it take Kristi’s investment to be worth $6,000?
A=
P=
r=
n=
t=
6000
2640
.035
4
?
6000
2640
.035
4
?
10
Reorder
Page 5 #7 First Box
Kristi deposits $2,640 into an account that pays 3.5% interest compounded quarterly. If Kristi makes no additional deposits and does not make any withdrawals, how long will it take Kristi’s investment to be worth $6,000?
Divide both sides by 2640 and simplify in parenthesis
Take the log of both sides
Use log properties to bring exponent in front of the log
Divide by anything except the variable
Type into Desmos
11
Page 5 #7 First Box
12
Match
Page 5 #7 Second Box
A magazine notices that the number of subscriptions has been decreasing at a rate of 4.5% each year. If the magazine has 36,000 subscribers and the subscriptions continue to decrease at this rate, how long will it take for the number of subscribers to decrease by half?
A=
a=
r=
t=
18000
36000
.045
?
18000
36000
.045
?
13
Reorder
Page 5 #7 Second Box
A magazine notices that the number of subscriptions has been decreasing at a rate of 4.5% each year. If the magazine has 36,000 subscribers and the subscriptions continue to decrease at this rate, how long will it take for the number of subscribers to decrease by half?
Divide both sides by 36000 and simplify in parenthesis
Take the log of both sides
Use log properties to bring exponent in front of the log
Divide by anything except the variable
Type into Desmos
14
Page 5 #7 Second Box
15
Labelling
Page 5 #7 Third Box
Put the steps in the correct order.
Around 6 hours
16
Fill in the Blanks
Type answer...
Solving Logarithmic Equations and Inequalities
Show answer
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