46 Practice: Expanding and Condensing 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

Condense

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

Expand

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

Condense.

• A

• B

• C

• D

Choose the correctly condensed logarithm

 $\frac{1}{2}\log_6a-\log_6b+\log_66$  

•  $\log_6\left(\frac{6\sqrt{a}}{b}\right)\$  

•  $\log_6\left(\frac{\sqrt{a}}{b}+1\right)\ \$  

•  $\log_6\left(\frac{\sqrt{a}}{b}\right)\ \ +1$  

•  $\log_6\left(\frac{\sqrt{a}}{b}\right)\ \ +6$  

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.B.5

• log(x) + log(z) + 4log(y)
• 3log(x) − log(z) − 4log(y)
• 3log(x) + log(z) + 4log(y)
• log(x) − 4log(z) − 3log(y)

Tags

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.B.5

CCSS.HSF.IF.C.8

Condense: ln5 + 3lnx - 2lny

• ln5x³/y²

• ln5x³y²

• ln5/x³y²

• ln5x/y

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.B.5

CCSS.HSF.IF.C.8

Expand each Log

• A
• B
• C
• D

Tags

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