Logarithms

Rewrite log₂8 = 3 in exponential form

• 2⁸ = 3

• 2³ = 8

• 3² = 8

• 8³ = 2

Tags

CCSS.HSA.SSE.B.3

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

Solve for x.
3^x = 27

• 2
• 4
• 3
• 5

Tags

CCSS.HSF.LE.A.4

Evaluate.
log₃81

• 4
• ¹/₄
• -4
• -¹/₄

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

Rewrite 3⁴ = 81 in logarithmic form.

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

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

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

CCSS.HSF.LE.A.4

Solve for x:
log_x 25 = 2

• 5
• -5
• 1/5
• -1/5

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

Evaluate log₄1

• 1
• 0
• 4
• undefined

Tags

CCSS.HSF.BF.B.5

Evaluate.
3 log₂4

• 3
• 6
• 2
• 4

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

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

• (-∞,∞)

• (-1,∞)

• (-1,3)

• (∞, -1)

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.5