Logarithm Laws

• A
• B
• C
• D

Tags

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

• A
• B
• C
• D

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.IF.C.8

CCSS.HSF.LE.A.4

Condense

• log(xyz³)

• log(xy/z³)

• log(x)+log(y)+log(z³)

• log(x³y³z³)

Expand

• log₈x+log₈y+log₈z
• 5log₈x+5log₈y+5log₈z
• log₈xy+5log₈z
• log₈x+log₈y+5log₈z

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.B.5

CCSS.HSF.IF.C.8

Condense

• log₈(a¹⁸/b³)
• log₈(a¹⁸b³)
• log₈(a/b³)
• 15log₈(a/b³)

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.B.5

Expand

• A
• B
• C
• D

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

The common logarithm has what base?

• 10
• 0
• e
• -e

Tags

CCSS.HSF.BF.B.5

Expand the following logarithm: 
log₂ 5x.

• log₂ 5 - log₂ x 
• log₂ 5 + log₂ x 
• 2log 5 + 2log x
• log5 2 + log_x 2

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.B.5

CCSS.HSF.IF.C.8

Expand the following logarithm: 
log₃ 10z 

• log₃ 10 - log₃ z
• log₃ 10 + log₃ z 
• zlog₃ 10
• log₃ z¹⁰

Tags

CCSS.HSF.BF.B.5

Expand the following logarithm: 
log₂ 6/y 

• log₂ 6 - log₂ y 
• log₂ y - log₂ 6 
• 2log 6 + 2log y
• log₂ 6 - y

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.IF.C.8