Logarithm Properties

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

 $\log_nn=$  _______

Tags

CCSS.HSF.BF.B.5

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

Simplify the following:  $\log_324-\log_36$  

•  $\log_318$  

•  $\log_3144$  

•  $\log_34$  

•  $\log12$  

•  $18\log3$  

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.B.5

 $\log_{9000}1=$  ___________

Tags

CCSS.HSF.BF.B.5

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

Simplify the following:  $\log_4x+\log_4x$  

•  $\log_4\left(x^2\right)$  

•  $\log_4\left(2x\right)$  

•  $\log_{16}\left(x^2\right)$  

•  $\log_8\left(2x\right)$  

•  $\log_4x$  

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.B.5

CCSS.HSF.IF.C.8

Simplify the following:  $\log_5\left(3\right)+\log_5\left(r\right)-\log_5\left(w\right)$  

•  $\log_5\left(3rw\right)$  

•  $\log_5\left(3+r-w\right)$  

•  $\log_5\left(\frac{3r}{w}\right)$  

•  $\frac{\log_5\left(3r\right)}{\log_5\left(w\right)}$  

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.B.5

CCSS.HSF.IF.C.8

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

Is the following true or false? Explain your answer!!
 $\log_6\left(10\right)+\log\left(4\right)=\log_6\left(40\right)$  

Evaluate responses using AI:

OFF

Tags

CCSS.HSA.REI.A.1

CCSS.HSF.BF.B.5