Solving Exponential Equations
Solving Logarithmic Equations
Exponential Growth/Decay
100

2x+7 = 24

What is x = -3?

100

log2 (x+20) = log2 2

 What is x = -18?

100

In 2005, here were 1,000 rabbits on an island. The population grows 8% every year. At this rate, how many rabbits will be there by 2020? Round to the nearest whole number.

what is 3172 rabbits

200

3-x = 3-3x

What is x = 0?

200

log5x = log6 100

What is x = 20?

200

The bear population increases at a rate of 2% per year. There are  1573 bear this year. Write a function that models the bear population.  How many bears will there be in 10 yr?

what is f(100)=198,505.56 birds

300

83x+3 =89

What is x=2?

300

logx 25 = 2

What is x = 5?

300

The value of a new car in 2015 was $40,000. It decreases 7% each year. How much will the car be worth in 2024?

what is $200,816.44

400

43n = 42n+3

What is x = 3?

400

log7 (2x+1) = log(x+20)

What is x = 19?

400

Write an exponential function to model each situation. Find the  value of each function after five years.

 a. A $12,500 car depreciates 9% each year 

b. A baseball card bought for $50 increases 3% in value each  year.

a. what is f(5)=$7,800.40

b. what is f(5)=$57.96

500

62x = 6-x-1

What is n = -1/3?

500

log(4x+10) = log4 (x+1)

What is x = -3?

500

John bought a new home in 2002. The value of the home  increases 4% each year. If the price of the house is 225,00 in 2015, how much did he pay for the house in 2002?

What is $135,129.17

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