Logarithmic and Exponential Equations Jeopardy

Logarithmic Equations

100

4^x  =  16

x = 2

200

7^x  =  23

x = 1.6

300

log 15 = log (2x+3)

x = 7

400

14^m  =  153

m = 1.9

500

log (3x-15) = log (6x+3)

x = 6

Logarithmic Equations 2

100

log_x 4x = 3

x = 54

200

log_x 49 = 7

x = 7

300

log₃ 5x = 3

x = 27/5

400

log₈ (5x+1) = log₈ (x-5)

x = -1

500

log₆ 4x = 3

x = 54

Exponential Growth and Decay

100

A car's price of $12,500 decreases 9% each year, how much would the car be worth after 5 years?   Exponential Decay equation: f(x) = a(1 - r)^t

f(x) = 7200.40