chapter 3 review

Rewrite 3⁴ = 81 in logarithmic form.

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

Rewrite log₂8 = 3 in exponential form

• 2⁸ = 3

• 2³ = 8

• 3² = 8

• 8³ = 2

Tags

CCSS.HSF.BF.B.5

Evaluate log₈ 8

• 8
• -1
• 0
• 1

Evaluate.
3 log₂4

• 3
• 6
• 2
• 4

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

Evaluate the log:
log₃(1/9) = 

• 1/2
• 2
• -2
• 3

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

log₇7

• 0
• 1
• 7
• 2

Expand

• log₈x+log₈y+log₈z
• 5log₈x+5log₈y+5log₈z
• log₈xy+5log₈z
• log₈x+log₈y+5log₈z

Tags

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.B.5

CCSS.HSF.IF.C.8

Expand

• A
• B
• C
• D

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

Condense

• logxyz³
• log(xy/z³)
• logx+logy+logz³
• logx³y³z³

Tags

CCSS.HSA.SSE.B.3

CCSS.HSF.IF.C.8

Condense

• 4log₃x-4log₃y
• log₃(x⁴/y⁴)
• log₃(x⁴y⁴)
• log₃(x⁴) - log₃(y⁴)

Tags

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.B.5