Log Properties

Rewrite log_pt = m in exponential form.

• p^t = m
• t^m = p
• m^t = p
• p^m = t

Tags

CCSS.HSF.BF.B.5

Expand:  log(uv⁴)⁴

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

When a logarithm has multiplication inside of it, it expands using ________________.

• Addition
• Subtraction
• Multiplication
• Division

Tags

CCSS.HSF.BF.B.5

Expand.

• A
• B
• C
• D

• A
• B
• C
• D

• A
• B
• C
• D

Tags

CCSS.HSA.SSE.B.3

Expand.

• log x + 5 log y
• 5 log x + 5 log y
• 5 log x - log y
• log x - 5 log y

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.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.B.5

CCSS.HSF.IF.C.8

log₈(6x7)

• log₈6+log₈7
• log₈42
• log
• log₈x²