Jeopardy Board

Exponential Equations

100

3^x+2=3⁵

x=3

200

3^x+2=9^2x+3

x=4/3

300

2^x+4x4⁸=8^3x-16

x=17/2

400

2^4xx2¹⁶=1/16

x=5

500

1/7^2xx1/7²¹=49^8x-7

x=-7/18

Log<->Exp.

100

Log₉1=0

9⁰=1

200

9²=81

Log₉81=2

300

Log₃729=6

3⁶=729

400

25^1/2=5

Log₂₅5=1/2

500

Log₈1/64=-2

8^-2=1/64

No Common Base

100

12^x=8

X=0.8368

200

4^k=148

K=3.6047

300

24^x=36

X=1.1276

400

16^m-8=92

m=9.6309

500

7-4^x+1=18

No Solution

Log Properties

100

Log₇9+Log₇4

Log₇36

200

3xLog₄8-5xLog₄2

Log₄16

300

Log₄m⁷-Log₄m²+4xLog₄m³

Log₄m¹⁷

400

Log₆(xyz⁴)

Log₆x+Log₆y+4(log₆z)

500

Log₃ square root 4 (m⁵n²)

1/4(5log₃m+2Log₃n)

Logarithmic Equations

100

Log₂(1-4n)=Log₂(2n+43)

n=-7

200

3xLog₇4=Log₇(4a-8)

a=18

300

1/2xLog₆25=Log₆(23-4w)

w=4.5

400

Log(2x)+Log(x-5)=2

x=10,x=-5

500

Log₆(x+9)+Log₆x=2

x=3