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

Expand

• 6log₈v-2log₈u
• 6log₈u-2log₈v
• 3log₈u-2log₈v
• 6log₈u+2log₈v

Solve: log₂(x + 5) = 3

• 3
• 4
• 5
• 6