Exponential/Logarithm Test Review Game

Logs!

100

Simplify the expression: log₂ 8

What is 3?

200

Write the equation ln 15 = 2.708 in exponential form.

What is e^2.708=15 ?

300

Evaluate Log₃76 (round to two decimal places)

What is 3.94 ?

400

What is the asymptote of the graph of f(x) = log(x - 1) ?

What is x=1 ?

500

What is the x-intercept of the graph of f(x)= log(x + 2) -1 ?

What is (8, 0) ?

Exponential EQ's

100

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

What is log ₄1,024 = 5 ?

200

Write the exponential equation 10³ = 1000 in logarithmic form.

What is log 1000 = 3 ?

300

What is the asymptote of y= 3*2^x-1+4?

What is y = 4?

400

What is the x-intercept of y= 3*2^x-1+4?

What is no solution?

500

Simplify ln e ^(3x)

What is 3x?

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 long will it take to reach approximately 10,213 bacteria? 

What is five hours and 30 minutes?

300

The population of a small town grows by 4% every year. If after seven years, there are 767 people, how many people were there at the beginning of that time span?

What is 583?

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^(x-4)=5^(3x+1)

What is x=-9 ?

300

Solve: 2^x + 10 = 3

What is no solution?

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(2x + 7) = log(5x - 4)

What is x = 11/3 ?

300

Solve: log (2x) - log(8) = 5 Round your answer to two decimal places.

What is x= 20 ?

400

Solve: 3 ln x - 7 = 4 Round your answer to two decimal places.

What is x= 39.12 ?

500

Solve: log₃(3x²) + log₃4 = 1

What is x=.5 and x = -.5 ?