Logarithms and Logarithmic Functions

Logarithmic functions are the inverse of...

• Linear Functions
• Exponential Functions 
• Quadratic Functions 
• Polynomial Functions 

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

Rewrite log₂8 = 3 in exponential form

• 2⁸ = 3

• 2³ = 8

• 3² = 8

• 8³ = 2

Tags

CCSS.HSF.BF.B.5

Rewrite 10³ = 1000 in logarithmic form.

• log ₁₀₀₀ 3 = 10

• log ₃ 10 = 1000

• log 3 = 1000

• log 1000 = 3

Tags

CCSS.HSF.BF.B.5

Evaluate: log₆ (¹/₂₁₆) = x

• 3

• ¹/₃

• -¹/₃

• -3

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

Evaluate: log ₂ 16 = x

• 3

• 2

• 4

• 5

Tags

CCSS.HSF.BF.B.5

What equation matches the graph?

• f(x) = 3^x
• f(x) = (⅓)^x
• f(x) = log₃(x)

Tags

CCSS.HSF-IF.C.7E

What is the domain and range of this graph?

• D: all real numbers
  R: all real numbers
• D: all real numbers
  R: y ≥ 0
• D: x ≥ 2
  R: y ≥ 3
• D: x ≤ 2
  R: y ≤ 3

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

Solve for x:
2^{3x + 1} = 32

• 0
• -1
• 5/3
• 4/3

5^3x-6 =125

• x=6
• x=3
• x=10
• x=25