Exponential/Logarithm Test Review Game

Logs!

100

Evaluate the expression: log₂ 8

What is 3?

200

Write the equation log₃ 729 = 6 in exponential form.

What is 3⁶ =729 ?

300

Write the equation log 1000 = 3 in exponential form.

What is 10³=1000

400

What is the asymptote of the graph of f(x) = 2^x-1+1

What is y=1 ?

500

Expand the following logarithm: log₃3/x³

What is log₃3-3log₃x? 

Exponential EQ's

100

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

What is log₄ 1,024 = 5 ?

200

Write the exponential equation 27^1/3 = 3 in logarithmic form.

What is log₂₇ 3 = 1/3 ?

300

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

What is log_1/2 8 = -3

400

Is the graph y= .7^x growth or decay?

What is decay?

500

Is y=1/2(2)^x-1 growth or decay?

What is growth?

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 10,410 bacteria?

200

If there are initially 3000 bacteria in a culture, and the number of bacteria increase by 8% every hour. How many bacteria exist after 10 hours?

What is 6,700 bacteria?

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 7.567 Round your answer to four decimal places.

What is 36,897,759.8570?

Solving Exponential EQ's

100

Solve: 8^2x=8^x+7

What is x=7?

200

Solve: 25=5^3x+1

What is x=1/3 ?

300

Solve: e^2x=e^x+4

What is x=4?

400

Solve: 3e^{3 - x}= 15 Round your answer to two decimal places.

What is x= 1.39 ?

500

Solve: 10^2x+1 + 2 = 4 Round your answer to two decimal places.

What is x = -0.35 ?

Solving Log EQ's

100

Solve: log x = 3

What is 1000?

200

log ₃ x = 5

What is x = 243 ?

300

Solve: ln x = 4 Round your answer to two decimal places.

What is x= 54.60 ?

400

Solve: ln x - 7 = 4 Round your answer to two decimal places.

What is x=60.94?

500

Solve: log₂(x+4)+log₂3=log₂(x-2)

What is x= -7?