Solving logs
Logarithms
Growth and Decay
Compound Continuously
Compound interest
100
solve:
log2 256=
8
100
This is the base of natural logarithms
e
100
Is this a growth or decay function.
An adult takes 400 mg of ibuprofen. Each hour, the amount of ibuprofen in the person's system decreases by 29%.
What is decay?
100
This is the amount one starts with
principle
100
The amount that is compounded daily
n= 365
200
solve.
log41024=
5
200
This is the base of common logarithms
10
200
f(x) = 24500 (.88)x
Is this a growth or decay function?
What is decay?
200
Find A when the following occurs:
p =1000
r=5%
t=3
A = 1161.83
200
The Fenway Panther deposits $520 into a savings account that has a 3.5% interest rate compounded monthly. What will be the balance of panther's savings account after two years?
𝐴=557.65
300
solve.
log20400=
2
300
This is a property of logarithms and has a value:
What is zero?
300
Write a function in terms of x that represents this situation.
A squash tournament had 128 participants this year. During each round, half of the players are eliminated.
f(x) = 128 (.5)x
300
Ms. Work Hard invests $8,911 in a retirement account with a fixed annual interest rate of 7.71% compounded continuously. What will the account balance be after 20 years?
$41,649.38
300
Mr. Winder invests $4,848 in a savings account with a fixed annual interest rate of 5% compounded 2 times per year. What will the account balance be after 6 years?
$6,520.02
400
solve.
log6 1/216
-3
400
The form that is considered an inverse of a logarithm.
What is exponential?
400
Write a function in terms of x that represents this situation.
A science lab is researching June Beetles. The population of June Beetles has been growing at a rate of 5% per month. Within the enclosure there are 800 beetles at the start of the research.
f(x) = 800(1.05)x
400
Mr. Do the Right Thing invests $8,634 in a savings account with a fixed annual interest rate of 2.67% compounded continuously. What will the account balance be after 6 years?
$10,134.12
400
Sra. John invests $8,333 in a savings account with a fixed annual interest rate of 8% compounded 2 times per year. What will the account balance be after 12 years?
$21,360.01
500
solve.
log343 7=
1/3
500
This can be written as a single logarithm
500
Name the basic formulas for continuous growth
A = Pert
500
Ms. Be Yourself invests $1,966 in a savings account with a fixed annual interest rate of 2.45% compounded continuously. What will the account balance be after 8 years?
$2,391.69
500
Mr. Winder invests a sum of money in a savings account with a fixed annual interest rate of 4.31% compounded 12 times per year. After 10 years, the balance reaches $12,855.94. What was the amount of the initial investment?
$8,361