Basic properties of logarithms

Expand the following:

log (10x)

• log 10 + log x

• log 10 - log x

• x log 10

• log 2 + log 5 - log x

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.B.5

CCSS.HSF.IF.C.8

Expand:

log₂ 3x²

• log₂ 3 + log₂ x + log₂ x

• 2log₂ 3 + log₂ x

• log₂ 3 + 2log₂ x

• 2log₂ 3 + 2log₂ x

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.B.5

Write as one logarithm: log₂ (x - 2) - log₂ x

• log₂ x/(x - 2)

• log₂ (x - 2) / x

• log₂ 2

• log₂ (x - 2) + x

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.B.5

CCSS.HSF.IF.C.8

Expand the logarithm:

log (2x³)/(3y)

• log 2 + log 3x - log 3 + log y

• log 2 + 3log x - log 3 + log y

• 3log 2 + 3log x - log 3 - log y

• log 2 + 3log x - [ log 3 + log y]

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.B.5

CCSS.HSF.IF.C.8

Write the following as one logarithm:

log 4 + 2log x + log y - 5log a

• log (4x²) / (a⁵y)

• log (4x²y) / (a⁵)

• log (4x²) (a⁵y)

• log (16x²y) / (a⁵)

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.B.5

CCSS.HSF.IF.C.8