Log Facts
Properties of Logs
Growth and Decay
Solving Exponential Equations
Grab Bag
100
This number is the standard base of a log and is normally not written.
10
100
This is the definition of one of the properties of logarithms
What is the Product Property of Logarithms
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%.
Decay problem.
100
Solve For X
5^x=1/25
x=-2
100
This song, written by Lin Manuel Miranda, topped the Billboard charts for 5 weeks, the longest of any Disney song.
We Don't Talk About Bruno
200
The exponential form of this is what?
200
This is a property of logarithms and has a value:
What is zero
200
f(x) = 24500 (.88)x
Describe the percent change of this function.
It is decreasing by 12% for each interval of one.
200
Solve the following equation.
2logx=2
x=10
200
This is the source of Superman's incredible physical strength and abilities.
The Sun
300
A logarithmic function is the inverse of these functions.
What are Exponential Functions
300
This can be written as the sum and difference of multiple logarithms:
What is:
300
Write a function in terms of x that represents this situation.
A country club tennis tournament had 128 participants this year. During each round, half of the players are eliminated.
f(x) = 128 (.5)x
300
Solve the following equation. Express your answer as a fraction, if necessary.
log (2x+5)=3
x=995/2
300
This first-generation American was instrumental in uniting farm workers in the U.S. to pave the way for better wages and working conditions.
Caesar Chavez
400
Who is the number e named after?
Euler
400
This can be written as a single logarithm:
What is 
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 8% per month. Within the enclosure there are 800 beetles at the start of the research.
f(x) = 800(1.08)x
400
Solve the following equation. Express your answer as a fraction, if necessary.
log_7 (5x+3) = log_7 (2x-10).
x = -13/3
400
This is the name of the units used to measure how spicy a food is.
The Ghost Pepper has 800,000-1,000,000!
(For reference a jalapeno only has 2,000-8,000)
Scoville units.
500
We first learned about the number e studying how money repeatedly accrues in a savings account.
What was the name of this concept?
Compound Interest
500
This can be written as a single logarithm
What is:
500
The population of Oswego grows at a rate of 5% per year. The population in 1990 was 40,000. What would the predicted current population be?
200,128 people.
500
Solve the following equation. Express your answer as a fraction, if necessary.
log (3x+2) - log (x-1)=1.
x=12/7
500
This team is the only NFL team to go undefeated all season and win the Super Bowl.
Miami Dolphins, 1972