Quiz 9.1-9.4 AMA

Calculate each expression.

 $\log10$  

• 1

• 0

• 10

• -1

Calculate each expression.

 $\log_{25}5$  

• -2

• 1/2

• 2

• -1

Describe the behavior of the log

 $-5\log\left(x+3\right)+9=y$  

• Increase

• Decrease

Describe the behavior of the log

 $4\log\left(x+3\right)-2=y$  

• Increase

• Decrease

Describe the transformation of

 $\log\ x=y\ \ \ \ \ \ to\ \ \ \ \ \ \log\ \left(x-7\right)+9$  

• Left 7 and up 9

• Right 7 and down 9

• Left 7 and up 9

• Right 7 and up 9

Condense the expression:

 $\log\left(x-7\right)+\log\left(7x\right)$  

•  $\log7x-7$  

•  $\log\frac{7x}{x-7}$  

•  $\log7x^2-49x$  

•  $\log\ \frac{7}{x}$  

Condense the expression

 $\frac{1}{2}\log16-\log3$  

•  $\log12$  

•  $\log16^{\frac{1}{2}}\log3$  

•  $\log\frac{\sqrt{16}}{3}$  

•  $\log\frac{4}{3}$  

Condense the expression

 $\log_2x+\log_2m-3\log_2t$  

•  $3\log_2xmt$  
  

•  $\log_2\frac{xm}{t^3}$  

•  $\log_2\frac{\ xm}{3t}$  

•  $\log_2xmt^3$  

Expand the expression

 $\log_3\sqrt{41y}$  

•  $\log_341+\log_3\sqrt{y}$  

•  $\log_341+2\log_3y$  

•  $\frac{1}{2}\log_341+\frac{1}{2}\log y$  

•  $\log_341\sqrt{y}$  

Expand the expression

 $\log\ \frac{x-6}{x+6}$  

• l $\log x^2-36$  

•  $\log\left(x-6\right)+\log\left(x+6\right)$  

•  $\log\left(x-6\right)-\log\left(x+6\right)$  

•  $\log1$