Exponential/Logarithm Test Review Game

Logs!

100

Simplify 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) = log(x + 1) ?

What is x=-1 ?

500

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

What is x= -2 ?

Exponential EQ's

100

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

What is log₄ 1,024 = 5 ?

200

Is the graph y= .7^x increasing or decreasing, and is it a function?

What is decreasing, and it is a function?

300

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

What is log_1/2 8 = -3 ?

400

Solve the following equation. Round your answer to the nearest hundredth. 

(-8)14^x-8 = -72 

What is x = 8.83 ?

500

Simplify log(10)^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 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

$4,000 is invested in a bank account earning 5.2% annually. How long, to the nearest tenth of a year, will it take the investment to double?

What is 13.7 years?

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: 5^2x = 5^x+4

What is x=4?

400

Solve: 3*2^3-x= 15 Round your answer to two decimal places.

What is x= 0.68 ?

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

log₃(x) = 5

What is x = 243 ?

300

Solve: 7 + log₁₂(8x) = 7 

What is x= 1/8 ?

400

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

What is x= 28.54 ?

500

Solve: 2log₅(x)=log₅(x+6)

What is x=3 and x = -2 ?