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Exponentials & Logarithms
(Monsters, Money and More!)

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Exponentials & Logarithms Lesson 1 The Exponential Monster
crunch some 1
Exponentials & Logarithms Lesson 2 Alien Amoebas
Exponentials & Logarithms Lesson 3 Compound Interest
crunch some 1
Exponentials & Logarithms Lesson 4 Continuous Compounding
crunch some 1
Exponentials & Logarithms Lesson 5 Annuities
crunch some 1
Exponentials & Logarithms Lesson 6 Population Growth
Exponentials & Logarithms Lesson 7 Graphs of Exponentials
Exponentials & Logarithms Lesson 8 What's a Logarithm?
Exponentials & Logarithms Lesson 9 Some Special Logs
Exponentials & Logarithms Lesson 10 Inverse Tricks
Exponentials & Logarithms Lesson 11 Solving Exponential Equations
crunch some 1 ( equations )
Exponentials & Logarithms Lesson 12 Solving for Time and Rates
 crunch some 1 ( $$ continuous compounding )
crunch some 1 ( $$ regular compounding )
crunch some 1 ( populations - finding the rate )
crunch some 1 ( populations - solving for time )
Exponentials & Logarithms Lesson 13 More Ways to Use This Stuff
crunch some 1 ( decay )
crunch some 1 ( decay - finding the half-life )
crunch some 1 ( decay solving for time )
Exponentials & Logarithms Lesson 14 Tricks to Help with Solving Log Equations
 crunch some
Exponentials & Logarithms Lesson 15 Solving Log Equations

Exponentials & Logarithms Practice
 This is a listing of the "crunch some" problems for this chapter
Compound interest - find the final amount in the account

Example: How much will you have in your account if $15,000 is invested at 8% compounded quarterly for 20 years?

 Continuous compound interest - find the final amount in the account

Example: How much will you have in your account if $10,235 is invested at 6.2% compounded continuously for 30 years?
Population growth - find the population in a given year

Example: In 1950, the population of Geekville was 23,000. If the growth rate is 1.7%, what was the population in 1975?

 Solving exponential equations

Example: Solve 75 = 5e^(4t)
Money - continuous compounding - solving for time

Example: How long will it take for $10,000 to grow into $25,000 if it is invested at 8.8% compounded continuously?

 Money - regular compound interest - solving for time

Example: How long will it take for $10,000 to grow into $47,000 if it is invested at 8.8% compounded semi-annually?
Populations - finding the rate

Example: In 1965, the population of Nerd City was 15,000 and in 1980 is was 32,000. Find the rate of growth and use it to predict the population in 2002.

  
Exponential decay

Example: The half-life of boogonium is 2500 years. If you have 5.6 grams in 200, how much will be left in 3007?

 Exponential decay - finding the half-life

Example: You discoverd a new radioactive isotope and named it Geekonium-25. At 7 a.m., you have 7.2 mg in your petriee dish and at 2 p.m., you measure only 3 mg. What's the half-life?
Exponential decay - solving for time

Example: You are trying to date a fossil. You find 3.2 mg of Carbon-14 present in the specimen. If a live specimin should have 10 mg of Carbon-14, how old is the fossil?

  

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