Exponents & Logarithms

Write 2³= 8 in logarithmic form.

• log₂ 8 = 3
• log₂ 3 = 8
• log₃ 8 = 2
• log₃ 2 = 8

Write 10⁴= 10000 in logarithmic form.

• log₁₀ 4 = 10000
• log₁₀₀₀₀ 4 = 10
• log₁₀ 10000 = 4
• log₄ 10000 = 10

Write 8³ = 512 in logarithmic form.

• log ₈ 512 = 3

• log ₃ 512 = 8

• log ₃ 5 = 512

• log ₈ 5 = 512

Write log₃ 81 = 4 in exponential form.

• 81⁴=3
• 81³=4
• 4³=81
• 3⁴=81

Write log₆ 216 = 3 in exponential form.

• 3⁶=216
• 6³=216
• 216⁶=3
• 3²¹⁶=6

Write in exponential form:
log ₃₆ 1 = 0

• 36⁰ = 1
• 36¹ = 0
• 1³⁶ = 0
• 1⁰ = 36

Evaluate:

log₂ 1

• 1

• 2

• 0

• -1

Evaluate:

log₈ 8

• 8

• -1

• 0

• 1

Evaluate:
log₄16

• 2
• 4
• 1/2
• -2

Evaluate:

log₃81

• 2

• 3

• 4

• 5