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Rewrite log₂8 = 3 in exponential form

• 2⁸ = 3

• 2³ = 8

• 3² = 8

• 8³ = 2

Tags

CCSS.HSF.BF.B.5

Write in exponential form

log₂32 = 5

• 2^-5 = 32

• 2³² = 5

• 2⁵ = 32

• 32⁵ = 2

Tags

CCSS.HSF.BF.B.5

Evaluate.
log₃81

• 4
• ¹/₄
• -4
• -¹/₄

Tags

CCSS.HSF.BF.B.5

Write the logarithm expression as a single logarithm

log₄60 - log₄4 + log₄x

• log₄15

• log₄15x

• log₄56x

• xlog₄30

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.B.5

CCSS.HSF.IF.C.8

Expand the logarithm expression

log 6x³y

• log 6x³ + log y

• log 6 + log x³ + log y

• 3 log 6 + log x + log y

• log 6 + 3log x + log y

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.B.5

CCSS.HSF.IF.C.8

Write 2 x 2 x 2 x 2 in index form

• 2³
• 2⁵
• 16
• 2⁴

Tags

CCSS.6.EE.A.1

Simplify,

(z³yx) × (x²yz)

• z⁴ y² x³

• 6 zyx

• 3z 2y 3x

• z² ÷ x

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Write

3² × (1/3⁴)

as a single power in its simplest form

• 3²

• -3²

• 1² ÷ 3²

• 3^{- 2}

(-4r³s⁵)⁰ (3b⁴c²d)

• 1
• -12b⁴c²d
• 3b⁴c²d
• 0

Simplify fully: 
√120

• 4√30
• 2√30
• 12√10
• 6√10

Tags

CCSS.HSN.RN.A.1

CCSS.HSN.RN.A.2