Product, Quotient, and Power Rules for Logs

Condense

• A
• B
• C
• D

Tags

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.B.5

CCSS.HSA.SSE.A.2

CCSS.HSF.LE.A.4

Condense

• A
• B
• C
• D

Tags

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

Expand log(4x)

• log4-logx

• log4+logx

• 4logx

• xlog4

Tags

CCSS.HSA.SSE.B.3

Expand  $\log\left(\frac{x}{y}\right)$  

• logx+logy

• xlogy

• log(x-y)

• logx-logy

Tags

CCSS.HSA.SSE.B.3

Expand log(x⁷)

• log(7x)

• log7+logx

• xlog7

• 7logx

Tags

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.B.5

Expand  $\log\left(\frac{9}{4}\right)$  

• log9+log4

• log(9-4)

• log9-log4

• 4log9

Which of the following illustrates the Product Property of Logarithms

• log₃(x) ⋅ log₃(y) = log₃(x+y)

• log₃(x) ⋅ log₃(y) = log₃(xy)

• log₃(x) + log₃(y) = log₃(xy)

Which of the following illustrates the Quotient Property of Logarithms

• log₄(x ÷ y) = log₄(x) - log₄(y)

• log₄(x ÷ y) = log₄(x) ÷ log₄(y)

• log₄(x - y) = log₄(x) ÷ log₄(y)

Tags

CCSS.HSF.BF.B.5

Which of the following illustrates the Power Property of Logarithms

• log₅(m)ⁿ = n + log₅(m)

• log₅(m)ⁿ = n ⋅ log₅(m)

• log₅(m)ⁿ = log₅(n ⋅ m)

Tags

CCSS.HSF.BF.B.5

Condense

• A
• B
• C
• D

Tags

CCSS.HSA.SSE.B.3

CCSS.HSA.SSE.A.2