A2: 7.3 Logarithms and Logarithm Functions

Rewrite log₂8 = 3 in exponential form

• 2⁸ = 3

• 2³ = 8

• 3² = 8

• 8³ = 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

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

Evaluate.
log₃81

• 4
• ¹/₄
• -4
• -¹/₄

Evaluate log₄1

• 1
• 0
• 4
• undefined

Evaluate the following logarithm:

log₃27

• 3

• 2

• -3

• ¹/₃

Evaluate.
log₆(¹/₂₁₆)

• 3
• ¹/₃
• -¹/₃
• -3

• f(x) = √x
• f(x) = log x

Tags

CCSS.HSF-IF.C.7E

What is the equation for the graph

• 
  

  $y=\log_{10}\left(x\right)$
  

• $y=\log_5\left(x\right)$

• $y=\log_2\left(x\right)$

• $y=\log_5\left(-x\right)$

Tags

CCSS.HSF-IF.C.7E