Logarithm Jeopardy

Exponential Equations

100

 The function y = 3*2^x is an example of exponential ________

What is growth

200

In the equation for compound interest, P stands for this

What is Principal

300

In the equation y = ab^x, the function will experience _________ if b is between zero and one. 

What is decay?

400

This is the equation for continuously compounded interest. 

A = Pe^rt

500

A line that a function approaches but never reaches is called this

What is an asymptote

Expand

100

log(xy)

What is log(x)+log(y)?

200

log(x/z) 

What is log(x)-log(z)?

300

log₄xy³

What is log₄x+3log₄y

400

log(xzw)⁷

What is 7log(x)+7log(z)+7log(w)?

500

log(x³y⁴z⁵)

What is 3log(x)+4log(y)+5log(z)?

Rewrite

100

log₄16 = 2

What is 4² = 16

200

log₃81 = 4

What is 3⁴ = 81

300

e³ = 10x

What is ln 10x = 3

400

ln 27 = 3x

What is e^3x = 27

500

6^2x = 120

What is log₆ 120 = 2x

Contract

100

log(x)+log(y)

What is log(xy)^?

200

5log(x)+log(y)

What is log(x⁵y)?

300

6log(x)-7log(x)

What is log(x⁶/x⁷)^?

400

6log(x)-6log(y)

What is log(y/x)⁶?

500

3ln(x²)+2ln(y⁴)

What is ln(x⁶y⁸)?

Solve

100

5^x=125

What is 3?

200

7^3x=49

What is 2/3?

300

4^2x-5=64

What is 4?

400

e^x+1 = 10

What is 1.3

500

ln 7x = 5

What is 21.2?