A2 8.5 & 8.6 Practice

Condense

• A

• B

• C

• D

Tags

CCSS.HSF.BF.B.5

CCSS.HSA.SSE.B.3

CCSS.HSF.LE.A.4

CCSS.HSA.SSE.A.2

Condense

• log xyz³
• log (xy/z³)
• log x + log y + log z³
• log x³y³z³

Tags

CCSS.HSA.SSE.B.3

Expand

• log₈ x + log₈ y + log₈ z
• 5log₈ x + 5log₈ y + 5log₈ z
• log₈ xy + 5log₈ z
• log₈ x + log₈ y + 5log₈ z

Tags

CCSS.HSF.BF.B.5

CCSS.HSA.SSE.B.3

CCSS.HSF.IF.C.8

Expand

• 5log₅ a - 6log₅ b
• 5log₅ a - 30log₅ b
• 5log₅ a + 30log₅ b
• 30log₅ b - 5log₅ a

Tags

CCSS.HSF.BF.B.5

CCSS.HSA.SSE.B.3

CCSS.HSA.SSE.A.2

Condense

• $\log_8\left(\frac{x^6}{y^3}\right)$

• $\frac{\log_8x^6}{\log_8y^3}$

• $\log_8\left(\frac{x}{y^3}\right)$

• $\log_8\ \left(x^6y^3\right)$

Rewrite 3⁴ = 81 in logarithmic form.

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

Tags

CCSS.HSF.BF.B.5

Write 2³= 8 in logarithmic form.

• log₂ 8 = 3
• log₂ 3 = 8
• log₃ 8 = 2
• log₃ 2 = 8

Tags

CCSS.HSF.BF.B.5

The common logarithm has what base?

• 10
• 0
• e
• -e

Tags

CCSS.HSF.BF.B.5

Rewrite log₂8 = 3 in exponential form.

• 2⁸ = 3
• 2³ = 8
• 3² = 8
• 8³ = 2

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