Exponential Function

                     Lesson 1

                                                                                                                                                                          

                                                            Problem:    Given: f(x)=e10x    Find the value of ln(f(4)).

                                                            

                                                            Solution     y=e10x                            Set the equation equal to y  

                                                            Step 1:                                                                                                                                                             

                     

                                                            Solution     x=e10y                     Swap the x and y

                                                            Step 2:         

                                                                                         

                                                            Solution     y=log10x                 Solve for y by rewriting in log form

Step 3:                                                            

 

                                                            Solution     y=ln10x                  Log base 10 is called the natural log,ln 10x

Step 4:                                                            

 

                                                            Solution     y=ln (10(4))             Put the value

Step 5:                                                            

 

                                                            Solution     y = 40

Step 6:                                                            

 

                                                            Solution     Answer is : y = 40

Step 7:   

Complete                                                                   

                                                                                                                               

                                                             Try two practice problems:  

 

                                                                                Solve the following:       

 

A.

The graph of 5x intersects at?

 

B.

Find the domain of f(x)= 2x

 

 

 

 

 

 

        

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