Base e and Natural Logs

Solve the equation. Check for extraneous solutions.

 $e^x=21$  

•  $x=3.0445$  

•  $x=5.6857$  

•  $x=1.7559$  

•  $x=-4.0431$  

Write the equation in logarithmic form.
 $e^3=x$  

•  $\ln x=3$  

•  $\ln3=x$  

Tags

CCSS.HSF.BF.B.5

Write the equation in logarithmic form.
 $e^x=36$  

•  $\ln36=x$  

•  $\ln x=36$  

Tags

CCSS.HSF.BF.B.5

Write the equation in logarithmic form.
 $e^{\left(x-9\right)}=74$  

•  $\ln\left(x-9\right)=74$  

•  $x-9=\ln74$  

Tags

CCSS.HSF.BF.B.5

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

•  $e^{53}=x$  

•  $e^x=53$  

Tags

CCSS.HSF.BF.B.5

 Write the equation in exponential form. 
 $\ln x=18$  

•  $x^{18}=e$  

•  $e^{18}=x$  

Tags

CCSS.HSF.BF.B.5

Write the equation in exponential form. 
 $\ln87=x+4$  

•  $e^{\left(x+4\right)}=87$  

•  $e^{87}=x+4$  

Tags

CCSS.HSF.BF.B.5