Chapter Seven Jeopardy

7.1 and 7.2

100

What is the y-intercept of y=5(0.3)^x ?

(0, 5)

200

Is the following exponential decay or exponential growth? 

y=10(.5)^x 

exponential decay

300

What is the asymptote of the following equation? 

6(.75)^(x-1)+10

y=10

400

You deposit $100 into an account that pays 10% annual interest compounded continuously. After 7 years how much money do you have? Round to the nearest cent.

$201.38

500

You put $20 in the bank and collect a 7% annual interest. After 10 years how much money do you have? Round to the nearest cent.

$39.34

7.3

100

Put 64=2⁶ into logarithmic form. 

log2⁶⁴=6

200

What is the base of log65?

10

300

Solve log₄32

x= 2.5

400

What is the asymptote of the equation:

y=log₄(x-2)+16

x=2

500

An earthquake hit with a magnitude of 7.4. Two days later another earthquake hit with a magnitude of 6.5. Use the formula I₁/I₂ = M₁-M₂ to tell how much more intense the first earthquake was. 

about 8 times

7.4

100

make log₄15-log₄5 a single logarithm. 

log₄3

200

change 4log₂2+3log₂3 into a single logarithm 

log₂432

300

Expand log₃9x⁵

2+5log₃x

400

Using the change of base formula, solve for log₃54

x=18

500

Use the change of base formula to solve log₈47. Round the nearest hundredth 

x=5.88

7.5

100

Find the solution of 3^2x=27

x=1.5

200

Find the solution of 5^2x=4000 by graphing. Round to the nearest hundredth.

x=2.58

300

Solve .5logx +log4 = 2

625

400

What is the solution of log6-log3x=-2? 

x=200

500

What is the solution of log(4x-3)=2? Round to the nearest hundredth.

x=25.75

7.6

100

Write 4ln3 as a single natural logarithm 

ln81

200

Solve ln(2-x)=1. Round to the nearest hundredth.

x= -0.72

300

Solve by using natural logarithms: e^2x=12. Round to the nearest hundredth. 

x= 1.24

400

Solve by using natural logarithms e^x+1=30. Round to the nearest hundredth. 

x=2.40

500

Solve ln(3x+5)²=4. Round to the nearest hundredth and check solutions.  

x=.80