Exponential/Logarithm 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 log ₄1,024 = 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 increasing or decreasing, and is it a function?

What is decreasing and yes, a function?

500

y=4(0.84)^x percent increase/decrease

What has a decrease of 16%

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

I have 130 markers that decrease at a rate of 7% a week. When will I have only 5 left?

What is 45 days 

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: e^(2x)=e^(x+4)

What is x=4?

400

Solve: 3(4)^(x-3)= 15 Round your answer to two decimal places.

What is x= 4.16 ?

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

What is x= 54.60 ?

400

Solve: log₃(4)+log₃(5x)=2 Round your answer to two decimal places.

What is x= 0.45 ?

500

log₆(x+2)+log₆(x-3)=1

What is x=4 ?