Logarithm Practice

Rewrite 3⁴ = 81 in logarithmic form.

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

Tags

CCSS.HSF.BF.B.5

Change to Exponential Form:
log₆36 = 2

• 2⁶=36
• 6²=36
• 36²=6
• 36⁶=2

Tags

CCSS.HSF.BF.B.5

Expand the logarithm
log₁₀ 7x

• (log₁₀ 7)(log₁₀ x)
• log₁₀ 7 + log₁₀ x
• 7log₁₀ x
• xlog₁₀ 7

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.IF.C.8

What do cows drink?

• Milk
• Apple Juice
• Soda
• Water

Evaluate:
log₄16

• 2
• 4
• 1/2
• -2

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

Write in logarithmic form.
5² = 25

• log₅2 = 25
• log₂25 = 5
• log₂₅5 = 2
• log₅25 = 2

Tags

CCSS.HSF.BF.B.5

Write as one logarithm. Simplify, if possible.
log₃9 + log₃27

• -1
• 5
• 4
• 1

Write as one logarithm. Simplify, if possible.
log₂800 - log₂100

• 8
• 3
• -3
• 1

Tags

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.B.5

Evaluate.
log₆(¹/₂₁₆)

• 3
• ¹/₃
• -¹/₃
• -3

Evaluate.
3 log₂4

• 3
• 6
• 2
• 4