Properties of Logs

Expand logarithm

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

Tags

CCSS.HSF.BF.B.5

CCSS.HSA.SSE.A.2

Condense logarithm

• 15log₈u + 3log₈v
• 15log₈u - 3log₈v
• log₈(u¹⁵/v³)
• log₈u¹⁵v³

Evaluate:
log₄16

• 2
• 4
• 1/2
• -2

Evaluate:
ln e⁵= ?

• e⁵
• ln 5
• 5
• 5e

Evaluate:
log₄1 = ?

• 0
• 1
• 4
• DNE

Rewrite in Logarithmic Form:
12² = 144

• log ₂ 144 = 12
• log ₁₂ 144 = 2
• log ₁₂ 2 = 144
• log ₂ 12 = 144

Rewrite log₂8 = 3 in Exponential Form

• 2⁸ = 3
• 2³ = 8
• 3² = 8
• 8³ = 2

Condense logarithm

• 4log₃x-4log₃y
• log₃(x⁴/y⁴)
• log₃(x⁴y⁴)
• log₃(x⁴) - log₃(y⁴)

Expand logarithm

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

Expand.

• 1/3 log x + log y + log z
• 1/3 log x + 1/3 log y + 1/3 log z
• 1/3 log x - 1/3 log y - 1/3 log z
• 3 log x + 3 log y + 3 log z

Tags

CCSS.HSF.BF.B.5

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.IF.C.8