Properties of Logarithms

Expand

• 6log₈v-2log₈u
• 6log₈u-2log₈v
• 3log₈u-2log₈v
• 6log₈u+2log₈v

Tags

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.B.5

CCSS.HSF.IF.C.8

Condense

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

Tags

CCSS.HSA.SSE.B.3

CCSS.HSF.IF.C.8

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

Condense

• log₈(x⁶)/log₈(y³)
• log₈(x⁶/y³)
• log₈(x/y³)
• log₈(x⁶y³)

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.B.5

Expand each Log

• A
• B
• C
• D

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Expand each Log

• A
• B
• C
• D

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.B.5

Convert to log form:
7³=343

• log₃(7)=343
• log₇(3)=343
• log₃₄₃(7)=3
• log₇(343)=3

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

Convert to log form:
6^-2=1/36

• log₆(-2) =36
• log₆(1/36) =-2
• log₃₆(6) =-2
• log_-2(1/36) =6

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

log₂(16)=4

• 2⁴=-16
• 2⁴=16
• 8²=16
• 16²=4

Rewrite log₂8 = 3 in exponential form/

• 2⁸ = 3
• 2³ = 8
• 3² = 8
• 8³ = 2