Exponential and Logarithmic Functions Jeopardy Template

Exponential Function

Logarithmic Function

Logarithmic Properties

Exponential and Logarithmic Equations

Exponential and Logarithmic Models

100

Determine whether the equation represents exponential growth, exponential decay, or neither,
y=220(1.06)x

What is Exponential Growth?

100

Rewrite the equation log_y(x)=−11 into exponential form

What is y^-11=x?

100

Expand this logarithm, log_b(7x⋅2y)

What is log_b(2)+log_b(7)+log_b(x)+log_b(y)?

100

Use like bases to solve the exponential equation, 64⋅4^3x=16

What is x=-1/3?

100

Use the logistic growth model f(x)= 150/1+8e^-2x, to find f(0)

What is f(0)= 16.7?

200

Determine whether the equation represents exponential growth, exponential decay, or neither,
y=11,701(0.97)t

What is Exponential Decay?

200

Rewrite c^d= k into logarithmic form

What is log_c(k)= d?

200

Condense the equation into a single logarithm, log_b(28)−log_b(7)

What is log_b(4)?

200

Use logarithms to solve,
e^r+10−10=−42

What is No Solution?

200

Find the carrying capacity in f(x)=150/1+8e^-2x

What is 150?

300

Determine whether the equation represents continuous growth, continuous decay, or neither, y=3742(e)^.75t

What is continuous growth?

300

Solve for x in the equation log(x)=3

What is x=1000?

300

Expand the logarithm as much as possible, log(x¹⁵y¹³/z¹⁹)

What is 15log(x) + 13log(y) - 19log(z)?

300

Use logarithms to solve, −8⋅10^p+7−7=−24

What is p= log(17/8) - 7?

300

Find the doubling time for fish population using the function P(t)= 1000/1+9e^-.6t

What is 1.4 years?

400

Determine whether the equation represents continuous growth, continuous decay, or neither, y=2.25(e)^-2t

What is continuous decay?

400

Solve for x in the equation log₉(x)=1/2

What is x=3?

400

Condense the expression to a single logarithm, log(x)−1/2log(y)+3log(z)

What is log(xz^3/√y)?

400

Use logarithms to solve,
−6e^9x+8+2=−74

What is x= ln(38/3)-8/9?

400

Find how long it will take for the population to reach 900 fish using P(t)= 1000/1+9e^-.6t

What is 7.3 years?

500

Evaluate the function f(x)= -4^2x+3, when F(-1)

What is -4?

500

Evaluate the base b logarithmic equation when the function is 6log₈(4)

What is 4?

500

Evaluate the following expression without using a calculator, 6log₈(2)+log₈(64)/3log₈(4)

What is 3?

500

Use definition of logarithm to solve the equation,
4+log₂(9k)=2

What is k= 1/36?

500

Use the equation N(t)= 500/1+.49e^-.7t, where t represents days and N represents people, find how many people will have heard the rumor after 3 days

What is about 71 people?