Exponential/Logarithm Test Review Game

Logs!

100

Evaluate: log₂8

What is 3?

200

Solve for x, round to the hundreth
 ln x = 3

What is 20.09  (e³)?

300

Evaluate log 1000 

What is 3

400

log₁₆x=-3/4

What is x=1/8 ?

500

Evaluate log_x4 = -1/2

What is x= 1/16 ?

Exponential EQ's

100

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

What is log₄1,024 = 5 ?

200

4^x = 10
Round your answer to the thousandth

What is 1.661 ?

300

Simplify: ln e ^3x

What is 3x?

400

40(1-.4)^x = 120
Round to the nearest thousandth

What is x = -2.151?

500

Solve for x, round to the tenth
100e^3x = 20

What is x = -.5?

New Word Problems

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?

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?

300

Use the formula R = log I , where R is the measurement of the Richter scale and I is the intensity, to find the Richter scale measurement of an earthquake with intensity 30,000,000. Round your answer to four decimal places.

What is 7.4771?

400

Use the formula R = log I , where R is the measurement of the Richter scale and I is the intensity, to find the Richter scale measurement of an earthquake with intensity 35,000,000. Round your answer to four decimal places.

What is 7.5441 ?

500

Use the formula R = log I , where R is the measurement of the Richter scale and I is the intensity, to find the intensity of an earthquake with a Richter scale of 2.354 Round your answer to four decimal places.

What is 225.9436?

Mixed Bag

100

Solve: 16^x=8^x+2

What is x=6?

200

Simplify   (4/9)^-3/2

What is 27/8 ?

300

Solve: 5^2x-6 = 1

What is x=3?

400

Expand log₃4x²yz⁴

What is log₃4 + 2log₃x +log₃y+4log₃z

500

Condense and solve for x

log 5 + log x - log3 = 2

What is x = 60?

Money Word Problems

100

$400 is invested at 3.2%, compounded quarterly.   How much is there after 10 years?

What is 550.15?

200

$400 is invested at 3.2%, compounded continuously.   How much is there after 10 years

What is x = 550.85?

300

At 8%, compounded continuously, how long does it take to double a $500 investment? 

What is 8.66 years? (8 years and almost 8 months)

400

At 8%, compounded monthly, how long does it take to triple your $500?

What is x= 13.78 years (13 years, 9+months) ?

500

You have 64 grams of a radioactive kind of sodium. How much will be left after 10 years if its half-life is 3 years?  (Round to the hundreth)

What is 6.35 grams?