Logarithm Properties

Expand

• A
• B
• C
• D

Tags

CCSS.HSA.SSE.A.2

CCSS.HSF.BF.B.5

Expand

• A
• B
• C
• D

Tags

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.B.5

CCSS.HSF.IF.C.8

CCSS.HSF.LE.A.4

Expand the Logarithm

• A

• B

• C

• D

Tags

CCSS.HSF.BF.B.5

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.HSA.SSE.B.3

CCSS.HSF.BF.B.5

CCSS.HSF.IF.C.8

Expand

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

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.B.5

Expand log₅(u³v⁵)

• 1/2(log₅u+log₅v+log₅uw)
• 5 log₅ u - 15 log₅ v 
• log₅u + log₅v +3 log₅w
• 3 log₅u + 5 log₅v

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.B.5

CCSS.HSF.IF.C.8

Expand the following:  $\log_7\left(4x\right)$  

•  $\log_7\left(4\right)+\log_7\left(x\right)$  

•  $\log_7\left(4\right)-\log_7\left(x\right)$  

•  $\log_7\left(x^4\right)$  

•  $4\log_7\left(x\right)$  

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.IF.C.8

Expand the following:  $\log_5\left(z^8\right)$  

•  $5\log_8\left(z\right)$  

•  $8\log_5\left(z\right)$  

•  $\log_5\left(8z\right)$  

•  $8+\log_5\left(z\right)$  

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.IF.C.8

Expand the following:  $\log\left(j^4k^7\right)$  

•  $\log\left(4j\right)+\log\left(7k\right)$  

•  $11\log\left(j+k\right)$  

•  $28\log\left(jk\right)$  

•  $4\log\left(j\right)+7\log\left(k\right)$  

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.B.5

Expand the following:  $\log_2\left(5a^{10}\right)$  
hint:  $5a^{10}=5\cdot a^{10}$  

•  $\log_25+10\log_2a$  

•  $10\log_25+\log_2a$  

•  $\log_2\left(50a\right)$  

•  $\log_250+\log_2a$  

•  $10\log_25-10\log_2a$  

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.B.5