Condensing Logarithms

Condense

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

Tags

CCSS.HSA.SSE.B.3

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

Condense

• log₈(a¹⁸/b³)
• log₈(a¹⁸b³)
• log₈(a/b³)
• 15log₈(a/b³)

Tags

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.B.5

Condense

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

Tags

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.B.5

Condense

• 15log₈u + 3log₈v
• 15log₈u - 3log₈v
• log₈(u¹⁵/v³)
• log₈u¹⁵v³

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.B.5

CCSS.HSF.IF.C.8

Condense

• A
• B
• C
• D

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.B.5

CCSS.HSF.IF.C.8

CCSS.HSF.LE.A.4

klog_bM=log_bkM

• True
• False: it's supposed to be logbkM
• False: it's supposed to be log_bM/log_bk
• False: it's supposed to be log_bM^k

Tags

CCSS.HSF.BF.B.5

Condense to a single logarithm.

• 
• 
• 
• 

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.IF.C.8

Condense to a single logarithm.

• $\log_7\ \frac{t^2}{12s}$

• $\log_7\ \frac{\sqrt{s}}{12s}$

• $\log_7\ 64st$

• $\log_7\ \frac{t^2}{64s}$

Tags

CCSS.HSF.BF.B.5

Condense to a single logarithm.

• $\log\ \frac{9}{d^2w^5}$

• $\log\ 3d^2w^5$

• $\log\ \frac{3}{d^2w^5}$

• $\log\ \frac{9}{d^2w^5}$

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.IF.C.8

CCSS.HSF.LE.A.4