Logarithms

Evaluate.
log₃81

• 4
• ¹/₄
• -4
• -¹/₄

Evaluate.
log₆(¹/₂₁₆)

• 3
• ¹/₃
• -¹/₃
• -3

Evaluate.
3 log₈2

• ¹/₃
• 3
• 1
• 9

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 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

Describe domain of the function shown: y=log₂(x+1)

• (-∞,∞)

• (-1,∞)

• (-1,3)

• (∞, -1)

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

The school lawn is being overtaken by geese.  If there are 12 geese on Monday, and the number of geese increases by 30% every day, how many are there in 2 weeks?

• 12(0.30)¹⁴
• 12(0.30)²
• 12(1.30)¹⁴
• 12(1.30)²

Tags

CCSS.HSF-LE.A.1C

log ₉ (1/3) =

• -1/2

• -2

• -3

• -1/3

log ₁₇ 1

• 1

• 0

• 17

• 18