Properties of Logarithms

Condense this expression to a single logarithm.

• 
• 
• 
• 

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.B.5

Condense this expression to a single logarithm.

• 
• 
• 
• 

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.B.5

Condense this expression to a single logarithm.

• 
• 
• 
• 

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.B.5

Condense this expression to a single logarithm.

• 
• 
• 
• 

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.B.5

CCSS.HSF.IF.C.8

 $\log_312$  
Which of the following is a possible expansion for this logarithm? Check all that apply.

•  $\log_34+\log_33$  

•  $\log_310+\log_32$  

•  $\log_32+\log_36$  

•  $\log_336-\log_33$  

•  $\log_315-\log_33$  

Tags

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.B.5

CCSS.HSF.IF.C.8

 $\log_324$  
Which of the following is a possible expansion for this logarithm? Check all that apply.

•  $\log_34+\log_320$  

•  $\log_310+\log_314$  

•  $\log_34+\log_36$  

•  $\log_348-\log_32$  

•  $\log_38+\log_33$  

Tags

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.B.5

CCSS.HSF.IF.C.8

 $3\log_45$  

Condense into a single logarithm. Simplify if possible.

•  $\log_415$  

•  $\log_4125$  

•  $\log_43^5$  

•  $\log_{ }60$  

Tags

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.B.5

 $5\log_{9\ }x$  

Condense into a single logarithm. Simplify if possible.

•  $\log45x$  

•  $\log_95x$  

•  $\log_9x^5$  

•  $\log_{ }14x$  

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.B.5

CCSS.HSF.IF.C.8

 $\frac{1}{2}\log_{4\ }9$  

Condense into a single logarithm. Simplify if possible.

•  $\log18$  

•  $\log_4\ \frac{9}{2}$  

•  $\log_44.5$  

•  $\log_43$  

Tags

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.B.5

CCSS.HSF.IF.C.8

 $\log_{3\ }4^8$  

Expand using the product property. Simplify if possible.

•  $8\log_34$  

•  $4\log_38$  

•  $3\log_84$  

•  $8\log_43$  

Tags

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.B.5