Logarithms

Expand: log₂x⁶

• xlog₂6

• log₂x - log₂6

• log₂x + log₂6

• 6log₂x

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.B.5

CCSS.HSF.IF.C.8

Expand: log₅8x

• xlog₅8

• log₅8 + log₅x

• log₅8 - log₅x

• 8log₅x

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.IF.C.8

Expand:

• log₆y - log₆2

• log₆y + log₆2

• 2log₆y

• ylog₆2

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.B.5

CCSS.HSF.IF.C.8

Expand:

• 3log₅7x

• 3log₅x + log₅7

• log₅7 - 3log₅x

• 3log₅x - log₅7

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.B.5

Expand: log₈6x³y

• log₈6 + log₈x - 3log₈y

• 3log₈6 - log₈x + log₈y

• log₈6 + 3log₈x - log₈y

• log₈6 + 3log₈x + log₈y

Tags

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.B.5

CCSS.HSF.IF.C.8

Condense: 5log₈y

• log₈5^y

• log₈y/5

• log₈5y

• log₈y⁵

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.B.5

Condense: log₅7 + 2log₅x

• log₅7x²

• log₅7x

• log₅7²x

• log₅7/x²

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.B.5

CCSS.HSF.IF.C.8

Condense: log6 + 2logy - 5logx

• log6y/x

• log6/y²x⁵

• log6y²x⁵

• log6y²/x⁵

Tags

CCSS.HSF.BF.B.5

Evaluate:
log₄16

• 2
• 4
• 1/2
• -2

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

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