Exponential/Logarithm Test Review Game

Logs!

100

Simplify the expression: log₂8

What is 3?

200

Write the equation log₃729 = 6 in exponential form.

What is 3⁶=729 ?

300

Write the equation log1000=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 log₄1,024 = 5 ?

200

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

What is log₂₇3 = 1/3 ?

300

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

What is log_1/28 = -3

400

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

What is decreasing and yes, a function?

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 10,471 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 6,351 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

The bakery is always kept at a nice 60^F and a cake is 120^F when you remove it from the oven. You must let it cool to 70^F before you can frost it. After 5 minutes the cake cools to 105^F. How long before you can frost it? round to the nearest whole number.

What is 31?

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: 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

log₃x = 5

What is x = 243 ?

300

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

What is x= 54.60 ?

400

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

What is x= 39.12 ?

500

Solve: Hint: two answers

What is x=4 and x = -4 ?