Expanding and Condensing Logs

log (u⁶/v)³

• log u/2 + log v /2 + log w /2
• 3 log u - 18 log v
• 18 log u + 3 log v
• 18 log u - 3 log v

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.B.5

CCSS.HSF.IF.C.8

log₃(x³/y)²

• 6log3x-2log₃y
• 2log₃x-6 log₃y
• log₃z +log₃x/3+log₃y/3
• 2log₃x+6log₃y

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.B.5

CCSS.HSF.IF.C.8

log(x³*y)³

• 3 log z +log x/ 2
• 3 log-9log y
• 9 log x + 3 log y
• 3 log x - 3 log y

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.B.5

CCSS.HSF.IF.C.8

Condense the expression to a single logarithm.
16 log u +4 log v 

• log(v⁴u¹⁶)
• log(v⁴u⁴)
• log(vuw⁴)

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.B.5

CCSS.HSF.IF.C.8

12 log u + 3 log v

• log(v³u¹²)
• log(vuw⁴)
• log(u³/v¹²)

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.B.5

CCSS.HSF.IF.C.8

2 log x-6 log y

• log(y²x⁶)
• log(x³/y²)
• log(x²/y⁶)

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.B.5

3 log 2- 2 log 3

• log(3⁶*2²)
• log(2³/3²)
•  log 2³ +  log 3²
•  log 2³ -  log 3²

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.B.5

log₇x²

• 2log₇x
• log₇x+log₇y
• ylog₇x
• log₇x-log₇3

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.B.5

CCSS.HSF.IF.C.8

log₈(a*b)

• log₈a/2
• log₈(a)+log₈(b)
• blog₈(a)
• log₈(a)-log₈(b)

Tags

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.B.5

CCSS.HSF.IF.C.8

log₂(2/3²)

• log₂(2)-log₂(3²)
• log₂(2)-2log₂(3)
• log₂(2) + 2log₂(3)
• log₂(2)*log₂(3²)

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.B.5