Algebra

 

Let x be a real number such that 625x = 9.  Then 125x = ____  

 

                                                    625x   =     9  

 

                                                    625x           9  

                                                   –––––  =  –––––   

                                                    625           625  

 

                                                                       9  

                                                           x   =  –––––   

                                                                     625  

 

                                                                       9  

                                                  125 • x   =  ––––– • 125  

                                                                     625  

 

                                                                     9 • 125         1,125  

                                                     125 x   =  –––––––  =  ––––––     

                                                                       625              625  

 

                                                                       9  

                                                     125 x   =  ––––   (in decimal form 1.8)        

                                                                       5  

 

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