Correct! Algebra 2 Chapter 6 Review (2024-2025)

Solve log₄(1/64) = x

Select all values of x that satisfy the equation log₂(x² + 6x) = 2.

• x = 2, x = -8

• x = 1, x = -7

• x = 4, x = -6

• x = 0, x = -6

Solve the equation. 3ˣ + 2 = 6

• x = 1.2612

• x = 2

• x = 0.4771

• x = 1

If f(x) = 8ˣ, find g(x) if there is a reflection in the x-axis followed by a translation 7 units right.

Condense 3 log₂ z - log₂ y + 4 log₂ x.

• log₂(z³x⁴/y)

• log₂(z³x⁴y)

• log₂(z³/x⁴y)

• log₂(z³x⁴)+log₂(y)

Find the sum. ∑ (2n-1) from n=1 to 10.

• 100

• 90

• 81

• 55

Find the inverse of the following function: y = log₄(x-5)

• y = 4x + 5

• y = 4x - 5

• y = log₄(x) + 5

• y = 5x + 4

Which functions represent exponential decay?

• f(x) = (1.75)ˣ

• f(x) = (4/6)³ˣ

• f(x) = (0.5)²ˣ

• f(x) = 3eˣ

• A = 5567.51

• A = 4800.00

• A = 6000.25

• A = 7000.10

The graph below shows the balance of an account. What is the approximate balance of the account on the 2nd year?

• about $3400

• about $2000

• about $5000

• about $4200