Logarithms & Their Graphs

Rewrite log₂8 = 3 in exponential form

• 2⁸ = 3

• 2³ = 8

• 3² = 8

• 8³ = 2

Rewrite 3⁴ = 81 in logarithmic form.

• log₃4 = 81
• log₈₁3 = 4
• log₃81 = 4
• log₄81 = 3

Evaluate log₄1

• 1
• 0
• 4
• undefined

What is the domain?

• (-∞, ∞)
• (0, ∞)
• [1, ∞)
• (1, ∞)

What is the range?

• (-∞, ∞)
• (0, ∞)
• [1, ∞)
• (1, ∞)

What is the equation of the asymptote?

• x = -3
• x=5
• y= -3
• y=5

Evaluate the following logarithm:

log₃27

• 3

• 2

• -3

• ¹/₃

Evaluate the following logarithm:

log₅5

• 1

• 0

• -1

• ¹/₂

Evaluate the following logarithm:

log₄2

• -¹/₂

• -2

• 2

• ¹/₂

Evaluate the following logarithm:

log₈√8

• -¹/₂

• -1

• 1

• ¹/₂