Foundations Ch. 11 Review

How do you know a problem is growth?

• The base is a fraction.

• The base is a whole number bigger than 1.

Which function represents exponential growth?

• y = 1/20 (5/2)^x

• y = 16 (0.4)^x

• y = 20 (1/8)^x

• y = 8x³

Solve 4^2x+7= 32^x+3

• -2

• -1

• 1

• 2

Solve (1/81)^t = 243^t-2

• 9/2

• 10/9

• 2/9

• 9/10

Write the equation log₂₄₃81 = 4/5 in exponential form.

• (4/5)⁸¹ = 243

• (4/5)²⁴³ = 81

• 81^4/5= 243

• 243^4/5= 81

Evaluate 9^log₉⁵⁴

• log₉54

• 486

• 54

• 6

Solve log_1/8x = -1.

• 8

• -8

• 0

• -1/8

Solve log₃a + log₃(a - 8) = 2.

• 8

• 5

• 9

• -1, 9

Suppose you deposit $1000 in an account paying 4% annual interest, compounded continuously. Use A = pe^rt to find the balance after 10 years.

• $2353.85

• $1040.81

• $5459.82

• $1491.82

Solve ln(x + 2) = 3.

• 22.0855

• 18.0855

• 20.0855

• -0.9014