Condensing and Expanding Logarithms HW

Expand.

• A
• B
• C
• D

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Expand. 

• A
• B
• C
• D

Expand

• 4log₄u - 16log₄v
• 4logu + 16logv
• 4logu - 4logv
• 4logu - 16logv

Condense

• log xyz³
• log (xy/z³)
• log x + log y + log z³
• log x³y³z³

Condense

• log₈ (x⁶)/log₈ (y³)
• log₈ (x⁶/y³)
• log₈ (x/y³)
• log₈ (x⁶y³)

Expand log₅(u³v⁵)

• 1/2(log₅u+log₅v+log₅uw)
• 5 log₅ u - 15 log₅ v 
• log₅u + log₅v +3 log₅w
• 3 log₅u + 5 log₅v

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.B.5

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

Expand

• 6log₈v-2log₈u
• 6log₈u-2log₈v
• 3log₈u-2log₈v
• 6log₈u+2log₈v

Condense

• logxyz³
• log(xy/z³)
• logx+logy+logz³
• logx³y³z³

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

• log (12 + 2x)
• log (14x)
• log (24x)
• log (12x²)