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Logs!
Exponential EQ's
Writing Equations
Solving Equations
Calculating Logs
100

Simplify the expression: log2(8)

What is 3?

100

Write the exponential equation 45= 1,024 in logarithmic form.

What is log41,024 = 5 ?

100
Write the equation, do not solve:


A bacteria population doubles every hour. If it starts off with 250 samples, how many will be there after 12 hours?

250(2)12

100

If there are initially 3000 bacteria in a culture, and the number of bacteria increase by 25% each hour, how many bacteria will there be in 5 hours? Round to the nearest whole number.

What is 9,155 bacteria?

100

Log2156

1.32

200

Write the equation log3729 = 6 in exponential form.

What is 36=729 ?

200

Write the exponential equation 271/3 = 3 in logarithmic form

What is log273 = 1/3 ?

200

Write the equation (do not solve):

A wolf population starts with 100 wolves and grows by 10% each year, how many wolves will there be in 20 years?

100(1.10)20

200

If there are initially 3000 bacteria in a culture, and the number of bacteria increase by 25% each hour, after how many hours will you reach approximately 5,850 bacteria?

What is 3 hours?

200

Log421(1.05)

0.008

300

Write the equation log base 10 of 1000 = 3 in exponential form.

What is 103=1000 ?

300

Write the exponential equation (1/2)-3=8 in logarithmic form.

What is log1/28 = -3

300

Write the equation for the following scenario (don't solve)

You have $1000 in your bank account and get an interest of 3%/year. 

1000(1.03)x

300

If a population increases by 5% each decade, and starts with 20,000 people, how many will be there after 15 years?

20,000(1.05)1.5 = 21,518.60

300

Log670

2.37

400

Write log5(125) in exponential form and solve for the exponent! 

What is 53=125?

400

What is the % change if the b value is (1.025) and is it growing or decaying?

Change is 2.5% and it is growing

400

Write the equation for the following: 

The population of Boston has been increasing by 1.2% each year since 1999. You know the current population is 680,000. 

What is x(1.012)25 = 680,000

400

You lose 1% of your muscle mass every year after you turn 60. If you have 20lbs of muscle, how much will you have by the time you're 95?

20(.99)35 = 14.07lbs

400

Log0.5(12)

-3.58

500

Write log264 in exponential form and solve for the exponent 

What is 26 = 64

500
What is the % change in a function with a b-value of (0.91)? Is it increasing or decreasing 

9% decrease.

500

Write the equation for the following (do not solve)

You have 20,000 in student loans. If you pay 2% off each year, how much will you have left in 10 years? 

20,000(0.98)10

500

You have 50,500 in an account that makes 5% interest each year. How much do you have after 1 month?

50,500(1.05)1/12 = 50705.74

500

Log1050

1.70