Logarithm Jeopardy

Exponential Equations

100

(1, 3) (2,12)

y=.75(4)^x

200

(3, 27) (5, 243)

y=3^x

300

(1, 2) (3, 50)

y=.4(5)^x

400

(-1,10) (4, .31)

y=5(.5)^x

500

(2, 6.4) (5, 409.6)

y=.4(4)^x

Expand

100

log(xy)

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

200

log(xzw)⁷

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

300

log₄xy³

What is log₄x+3log₄y

400

log(xy/zw)

What is log(x)+log(y)-log(z)-log(w)?

500

log(4x/y₅)

What is log(x)+log4-5log(y)?

Inequalities

100

9^x>54

x>1.815

200

4^x<36

x<2.585

300

ln x >3

x>20.086

400

log₄x<4

0<x<256

500

-4log₅x-5>3

0<x<1/25

Condense

100

5logx+5logy

What is log(xy)^5?

200

5log(x)+log(y)-log(z)

What is log(x⁵y/z)?

300

6log(x)+4log(x)-7log(x)

What is log(x)^3?

400

5log(x)-6log(y)-7log(x)

What is log(1/y⁶x^2)?

500

3/2log(x⁴)+2/3log(y⁶)

What is log(x⁶y⁴)?

Solve

100

5^x-4=25^x-6

What is 8?

200

7^3x+4=49^2x+1

What is 2?

300

4^2x-5=64^3x

What is -5/7?

400

log₅(2x-7)=log₅(3x-9)

What is no solution?

500

log₂x+log₂(x-2)=3

What is 4?

Givens (on board)

100

log₃52

3.597   

200

log₃13/9

.335

300

log₃16

2.524  

400

log₃8 + log₃0.5

1.262