Final Exam Practice Problems

Solve for the exact value of x. log₃(8x) - 4 log₃(2) = 0

• x = 2

• x = 4

• x = 1/2

• x = 8

The expression ⁴√75 · ⁴√7 is equivalent to

Jacob invested $10,000 in an account paying an interest rate of 1.7% compounded daily. Assuming no deposits or withdrawals are made, how much money, to the nearest ten dollars, would be in the account after 7 years?

• $11,260

• $12,000

• $10,850

• $11,900

Given x > 0 and y > 0, select the expression that is equivalent to ∛216x¹²y⁹

• 72x⁴y³

• 6x⁴y³

• 72x⁴y¹/³

• 6x⁴y¹/³

The graph of y = f(x) is the solid black graph below. Which function represents the dotted graph?

• y = f(-x) - 3

• y = f(-x) + 3

• y = -f(x + 3)

• y = -f(x - 3)

What is the value of log₅ 125?

• 3

• 2

• 4

• 5

• 1

• 5

• 32

• 16

• 8

• 64