Jyles & Felisa AP PreCal Project
Storyboard-Text
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- Greetings from the future, citizen!I've come to teach you the power of logarithms!
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- Thanks to logarithms, we can use them to control data and information. Exponential growth is everywhere - from populations to technology!
- So, what does that mean for us?
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- PUSH
- Woah, I see now! Well, wait. What does this button?
- When things grow exponentially, they can get out of hand fast!
- Press it and you'll see!
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- 'Logarithms: Taming the Growth'
- OH! I think I get it! But how is this helpful in the real world?
- f(x) = log2(x+1)
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- We look at earthquakes, the Richter Scale uses logarithms to measure the energy released by the earthquake, providing a compact way to represent a range of earthquake intensities.
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- 1 = 2log4(x-3)
- Why don't you try solving a logarithm to this equation. It's easier to understand when you use the right scale!
- I'm not sure...logarithms sound tricky.
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- Magnitude (kg)
- 1 = 2log4(x-3)1/2 = log4(x-3)1/2 = log 4(x-3)4^(1/2) = 4^log4(x-3)2 = x - 35 = x
- The Richter Scale
- 9 (20 trillion)8 (60 billion)7 (20 billion)6 (60,000,000)5 (20,00,000)4 (60,000)3 (20,000)2 (600)1 (0.6-20)
- - Frequency -
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- Notice how the function changes! Exponential and logarithmic functions are inverses of each other!
- Logarithms can be helpful even in the real world!
- I get it! Since exponential and logarithmic functions are inverses of each other, I can exponentiate a logarithmic equation to then solve for x algebraically!
- There sure is a lot of people in my class. Man, the population sure i.. Woah!
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