Algebra 2 - 7.4 - Expanding and Condensing Logs

Expand    log₇x²

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

Expand   log₈(a*b)

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

Expand   log₂(2/3²)

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

Expand   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

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

Condense  12 log u + 3 log v

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

Condense 2 log x-6 log y

• log(y²x⁶)
• log(x³/y²)
• log(x²/y⁶)

Condense  3 log 2- 2 log 3

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

Write 2 log x  - log y as a single logarithm

• log x²  y
• log x²  y²
• log x²/y
• log (x / y)²

Expand log x √(y)

• log x + 1/2 log y
• 1/2 log x + 1/2 log y
• log x - 1/2 log y
• log x + 2 log y