Properties of Logarithm

Logarithmic functions are the inverse of...

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

Tags

CCSS.HSF.BF.B.5

Simplify the following logarithmic function:
log₂2⁸ =

• 8
• 2
• 1
• 16

Tags

CCSS.HSF.BF.B.5

Write the following equation in logarithmic form:
2³ = 8

• log₂8 = 3
• log₂3 = 8
• log₃2 = 8
• log₃8 = 2

Tags

CCSS.HSF.BF.B.5

Write the following equation in exponential form:
log₂32 = 5

• 2⁵ = 32
• 2³² = 5
• 5² = 32
• 32² = 5

Tags

CCSS.HSF.BF.B.5

Condense.

• log₂x²y¹⁰
• log₂x²+log₂y¹⁰
• log₂x²/y¹⁰
• log₂10xy

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.B.5

Expand.

• log x + 5 log y
• 5 log x + 5 log y
• 5 log x - log y
• log x - 5 log y

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.B.5

Expand

• 2log₃6 + 2log₃x
• 2log₃6 + log₃x
• 4 + 2log₃x
• 4 + log₃x

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.B.5

Expand

• log₃9 - (log₃x + log₃y)
• log₃9 + log₃x + log₃y
• 9 - log₃x + log₃y
• 9 - log₃x - log₃y

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.B.5

CCSS.HSF.IF.C.8

Condense

• log16x⁷
• log64x⁶
• log16x⁶
• log64x⁷

Write as a single log:
log 12 + 2 log x

• log (12 + 2x)
• log (14x)
• log (12 * 2x)
• log (12x²)