Week 14 Quiz

Solve 3 · 2ˣ = 24 for x by reading the powers of two backwards.

Select one.

• 8
• 3
• 21
• 4

Which statement is the exponential form of log₄(64) = 3?

Select one.

• 4³ = 64
• 3⁴ = 64
• 64³ = 4
• 3⁶⁴ = 4

Evaluate log₂(1⁄4).

Select one.

• 2
• −2
• 1⁄2
• No real value

Evaluate the common logarithm log₁₀(100).

Select one.

• 10
• 1
• 2
• 20

Select every true statement.

Select every option that applies.

• log₅(1) = 0
• ln(e) = 1
• log₂(2) = 0
• log(1000) = 30
• log₂(1024) = 10

What is the domain of log₃(x − 2)?

Select one.

• [2, ∞)
• (−2, ∞)
• (0, ∞)
• (2, ∞)

What is the domain of ln(2x − 1)?

Select one.

• (1⁄2, ∞)
• (1, ∞)
• (−1⁄2, ∞)
• [1⁄2, ∞)

The point (3, 8) lies on the graph of y = 2ˣ. Which point lies on the graph of its inverse, y = log₂(x)?

Select one.

• (3, 8)
• (8, 3)
• (−3, 8)
• (3, 1⁄8)

Which expression is the full expansion of log_b(x³y²) for positive x and y?

Select one.

• 6 log_b(xy)
• 3 log_b(x) · 2 log_b(y)
• log_b(3x) + log_b(2y)
• 3 log_b(x) + 2 log_b(y)

Which expression equals log(x) + log(4) for positive x?

Select one.

• log(x + 4)
• 4 log(x)
• log(4x)
• log(x⁴)