Chapter 3 Quiz Review

Write an exponential function in the form y=ab^x that goes through points (0,6) and (2,96).

• y=6(2)^x

• y=2(4)^x

• y=4(6)^x

• y=6(4)^x

The value of a car is $15,000 and depreciates at a rate of 8% per year. What is the exponential equation?

• y=8(15,000)^x

• y=15,000(0.92)^x

• y=15,000(1.08)^x

• y=15,000(0.08)^x

Kennedy won $3,000 from a radio contest. If she puts this money in a bank account that earns 2.9% interest compounded quarterly, how much total will she earn in 10 years?

• $4915.59
• $3933.28
• $2979.81
• $4005.09

You invest $1600 at an annual interest rate of 4.6% compounded continuously. How much will you have in the account after 4 years.

• $800.26
• $6,701.28
• $10,138.07
• $1,923.23

Evaluate.
log₆(¹/₂₁₆)

• 3
• ¹/₃
• -¹/₃
• -3

Expand the logarithm expression

log 6x³y

• log 6x³ + log y

• log 6 + log x³ + log y

• 3 log 6 + log x + log y

• log 6 + 3log x + log y

Condense the following expression into a single logarithm:
 $2\log\left(a\right)+4\log\left(b\right)-9\log\left(c\right)$  

•  $\log\left(a^2b^4c^9\right)$  

•  $\log\left(a^2+b^4-c^9\right)$  

•  $\log\left(\frac{a^2b^4}{c^9}\right)$  

•  $\log\left(\frac{a^2}{b^4c^9}\right)$  

What is the equation of the asymptote?

• x = -3

• x = 5

• x = -5

• x = 3

Solve 8 = 2^5x+7

• x = ⅘
• x = ¼
• x = -⅘
• x = -¼

Solve the equation. Round your answer to the nearest thousandth:

 $\log_42+\log_4-2x=3$  

• -0.533

• 10

• -16

• 10.667