Logs and exponential functions

Simplify  $\log_912+\log_97-2\log_92$  

• 2

•  $\log_921$  

•  $\log_915$  

• 1

Simplify: $2\log_318-\log_34$  

•  $2\log_314$  

•  $\log_3\left(\frac{324}{4}\right)$  

• 4

• I need my calculator

Solve for x:   $\log_x\left(\frac{1}{8}\right)=-3$  

• 2

• 4

• 1/2

• 1/4

Solve:  $\log_3\left(x+4\right)-\log_3\left(x-5\right)=2$  

• 7/4

• 5

• 1

• 49/8

• I really need my calculator

Solve for x:   $\log_{27}81=x+3$  

• -5/3

• 0

• 2

• -3

• I really need to study this weekend for this test

Expand using logs:   $\log_4\left(\frac{x^3y^5}{\sqrt{z}}\right)$  

•  $\log_{\ \ \ \ 4\ \ \ \ \ }\left(\frac{x^3\ \ \ \ \ \ \ \ y^5}{\sqrt{\ \ \ \ z\ \ \ \ \ \ }}\right)$  

•  $\log_4x^3\times\log_4y^5\div\log_xy\log_4\sqrt{z}$  

•  $3\log_4x\ \times5\log_4y\ \div\frac{1}{2}\log_4z$  

•  $3\log_4x+5\log_4y-.5\log_4z$  

solve:   $125^{\left(x-1\right)}=25^{\left(x+4\right)}$  

• 11

• 0

• 10

• 12

• I need to take better notes in class

Simplify: $\ln e^5-\ln e^9$  

•  $\ln e^{-4}$  

• -4

• 5/9

•  $e^{\left(\frac{5}{9}\right)}$  

solve for x:   $\log_{27}x=\frac{2}{3}$  

• 18

•  $\frac{81}{2}$  

• 3

• 9

where does  $\ln x=\log x$  at?

• x=0

• x=1

• Never

• all x in their domains