Exponential and Logarithm Review

A vehicle purchased for $25,000 depreciates at a constant rate of 9%.

Determine the approximate value of the vehicle 10 years after purchase.

• 59,184.09

• 9735.40

• 9463.13

• 10560.27

An exponential function f(x)=a⋅b^x passes through the points (0, 11) and (2, 44). What are the values of a and b?

• a=16, b=11

• a=11, b=16

• a=2, b=11

• a=11, b=2

Find a formula for the exponential function passing

through the points (-2, 3/25) and (1, 15)

• y = 3(5)^x

• y = 5(3)^x

• y = -5(3)^x

• y = -3(5)^x

A radioactive substance decays exponentially. A scientist begins with 170 milligrams of a radioactive substance. After 24 hours, 85 mg of the substance remains. How many milligrams will remain after 41 hours?

• 0.9715

• 52.022

• 49.24

• 1.24

Solve: log₆(m) = 4

• 1296

• 4096

• 24

• 1565

Find the logarithm: log₅(1/125) =

• 2

• -2

• 3

• -3

Find the logarithm: log₄(4^1/3) =

• 4

• -4

• 1/3

• -1/3

Solve for x:

2^x = 50

• 5.6439

• 25

• 0.1772

• 0.1771

Solve for x:

7^4x-6 = 43

• 1.9329

• 7.9329

• 1.9832

• 0.9888

Solve for x: 100(1.02)^2x = 5000

• 197.5507

• 0.9208

• 395.1014

• 98.7754