History
This Scottish mathematician is credited with the discovery of logarithms in 1614.
What is John Napier?
what are three real life applications of logs
What is continuous compound interest?
What is exponential population growth?
What is the Richter scale?
You’re solving Log3(x)=5. Solve for x
what is 35 or 243
Log2(x-3)=4
What is 19
?
This Swiss mathematician developed a table of progressions known as antilogarithms around the same time as Napier.
Who is Joost Bürgi?
This chemical scale, which measures acidity and alkalinity, is calculated using the negative logarithm of hydrogen ion concentration.
What is the ph scale?
An earthquake measures 7.0 on the Richter scale. Another measures 5.0. How many times more intense is the 7.0 earthquake?
What is 100 times?
log3(x(x-2))=log38
What is 4?
This English mathematician expanded Napier’s work by introducing base 10 logarithms.
Who is Henry Briggs
Logarithms are used to calculate growth when interest compounds continuously over time.
What is continuous compound interest?
Solution A has a pH of 6, and Solution B has a pH of 3. How many times more acidic is Solution A compared to Solution B?
What is 10-3 times more acidic?
log5(2x-1)=2
What is 13?
Napier’s discovery of logarithms helped simplify complex equations, especially in these two mathematical fields.
What are astronomy and trigonometry?
This type of growth, often seen in populations, increases at a rate proportional to its current size and can be modeled using logarithms.
What is exponential population growth?
A scientist starts with 150 bacteria in a culture. The population triples every 4 hours. How long will it take for the population to reach 10,800 bacteria?
What is 15.6 hours?
2log4(x)=3
What is 8 and -8?
The method developed by Joost Bürgi focused on these two types of mathematical progressions.
What are geometric and arithmetic progressions?
This concept in nuclear physics involves the use of logarithmic equations to determine the time required for a radioactive substance to decay to a specific fraction of its original mass.
What is half-life?
A type of bacteria doubles every 6 hours. There are 400 bacteria in a petri dish. How many hours will it take for there to be 3,200 bacteria?
what is 18 hours?
log2(x)-log2(x-4)=3
What is 32/7?