Expanding and condensing 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:

• 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: 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: 5log₄x - log₄8

• log₄8/x⁵

• log₄x⁵/8

• log₄8x⁵

• 5log₄8x

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.B.5

Condense: log6 + 2logy - 5logx

• log6y/x

• log6/y²x⁵

• log6y²x⁵

• log6y²/x⁵

Tags

CCSS.HSF.BF.B.5

Which of the following is equivalent to 5³=125?

• log₃(125)=5
• log₅(125)=3
• log₁₂₅(5)=3

Tags

CCSS.HSF.BF.B.5

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

Rewrite 3⁴ = 81 in logarithmic form.

• log₃4 = 81
• log₈₁3 = 4
• log₃81 = 4
• log₄81 = 3

Tags

CCSS.HSF.BF.B.5

Use the change of base formula and your calculator to approximate the log.

• A
• B
• C
• D

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4