Logarithm Jeopardy

Exponent and Log Properties and Formulas

100

log_bb simplifies to this value

What is 1 ?

200

ln(e^x) simplifies to this value

What is x?

300

In the equation y = ab^x, a stands for ________.

What is initial term / y-intercept?

400

This is the equation for continuously compounded interest. 

What is A(t) = Pe^rt ?

500

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

What is an asymptote ?

Expand using Log Properties

100

Expand log(xy)

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

200

Expand log(x/z) 

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

300

Expand log₄xy³

What is log₄x+3log₄y

400

Expand log(xzw)⁷

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

500

Expand log(x³y⁴z⁵)

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

Convert to Exponent or Log Form

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

Rewrite as a Single Log

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 the Log Equation

100

5^x=125

What is x=3?

200

7^3x=49

What is x= 2/3?

300

4^2x-5=64

What is x=4?

400

e^x+1 = 10

What is x=1.3

500

ln 7x = 5

What is x=21.2?