Exponent-Log Jeopardy

Evaluate

100

9^-3/2

What is 1/27

200

3a^-2(2b)³

What is 24b³/a²

300

Log ₁₆ 4

What is 1/2

400

log 243

What is 2.3856

500

log₃63-log₃7

What is 2

Solve for x

100

25^x=125^x-2

What is 6

200

log_x9=2/3

What is 27

300

Log₄x=3

What is 64

400

Log x = 2.7896

What is 616.0274

500

7^x=88 (to the nearest tenth)

What is 2.3

Fractional Exponents

100

25^1/2

What is 5

200

27^-2/3

What is 1/9

300

(36/25)^-3/2

What is 125/216

400

x^2/3=16

What is 64

500

2x^-3/2=16

What is 1/4

Accordion

100

expand log x³y⁶

What is 3 log x+6 log y

200

Condense 4log x-2log y + 6log z

What is log (x⁴z⁶/y²)

300

solve for x: Log x + Log (x+9) = 1

What is 1

400

Solve for x: log ₂(x+1) + log ₂ (x-2) =2

What is 3

500

Solve for x: 3log x = log 2+log 5

What is 2.15

Word Problems

100

The amount someone will have if $4000 is invested for 5 years at 4.5% interest continuously compounded.

What is $5009.29

200

The number of years it will take $600 to double at 1.5% interest.

What is 46.21 years

300

The rate of depreciation of a $17500 car if it is worth $12000 after 2 years.

What is (-)17%

400

The equation for an exponential function that passes through points (2,36) and (4,81).

What is y= 16(3/2)^x

500

The best fit model for the following data of (age, weight). (.5,15), (4,50), (6,60), (10,73),(15, 97), (20, 108)

What is y=22.3626x^.5354