8.08 & 8.09 Quiz

• natural logarithm

• exponential function

• base logarithm

• common logarithm

Write the equation in exponential form. 
 $\ln53=x$   

•  $e^{53}=x$  

•  $e^x=53$  

Condense the expression as a single logarithm.

 $\ln4+\ln3x$  

•  $\ln7x$  

•  $\ln\left(3x\right)^4$  

•  $\ln12x$  

Condense the expression as a single logarithm.

 $7\cdot\ln a-4\cdot\ln b$  

•  $\ln\ \frac{a^7}{b^4}$  

•  $\frac{7}{4}\ln\ \frac{a}{b}$  

•  $\ln\left(ab\right)^3$  

•  $\ln\left(ab\right)^{11}$  

Expand the logarithmic expression.

 $\ln\left(2m^8\right)$  

•  $\ln2+\ln m^8$  

•  $\ln2-8\ln m$  

•  $\ln\ \frac{2}{m^8}$  

•  $\ln2+8\ln m$  

The special number, natural base "e", is a ________________ number.

• rational

• irrational

• real

                 Simply the expression.                   $e^{-4}\cdot e^6$  

•  $e^{-2}$  

•  $\frac{1}{e^2}$  

•  $e^2$  

•  $e^{24}$  

•  $e^{-24}$