To solve this, we are going to use the product property of logarithms: [tex]lob_{b}m+log_bm=log(mn)[/tex] to rewrite our expression:
[tex]log_47+log_42=log_414[/tex]
[tex]log_4(7*2)=log_414[/tex]
[tex]log_414=log_414[/tex]
We can conclude that the property used to rewrite the logarithmic expression [tex]log_47+log_42[/tex] as [tex]log_414[/tex] is the product property of logarithms.
