6.4 Practice

Write in logarithmic form.
2^-4 = ¹/₁₆

• log₂(¹/₁₆) = -4
• log_-4(¹/₁₆) = 2
• log _-4 2 = ¹/₁₆
• log₂(-4) = ¹/₁₆

Tags

CCSS.HSF.BF.B.5

Write in exponential form.
log₂32 = 5

• 2^-5 = 32
• 2³² = 5
• 2⁵ = 32
• 32⁵ = 2

Tags

CCSS.HSF.BF.B.5

Rewrite 3⁴ = 81 in logarithmic form.

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

Tags

CCSS.HSF.BF.B.5

• 2

• 5

• 125

Evaluate the following logarithm:

log₄2

• -¹/₂

• -2

• 2

• ¹/₂

Evaluate the following logarithm:

log₃(¹/₃)

• -2

• -¹/₂

• -1

• ¹/₂

Evaluate the following logarithm:

log₈4

• ²/₃

• ³/₂

• ³/₄

• ¹/₂

Evaluate the following logarithm:

log₃27

• 3

• 2

• -3

• ¹/₃

Rewrite the equation into logarithmic form:
6² = 36

• log₆ 2 = 36
• log₆ 36 = 2
• ln 36 = 2
• 6³⁶ = 2

Tags

CCSS.HSF.BF.B.5

To evaluate a logarithm statement log₉81, you think "9 to what power is 81".

• True, and it's 2

• False

Tags

CCSS.HSF.BF.B.5