Question 130691

{{{log(x,(625/81))=4}}} Start with the given equation. 



{{{x^(4)=625/81}}} Rewrite the equation using the property: {{{log(b,(x))=y}}} ====> {{{b^y=x}}}



{{{x=root(4,625/81)}}} Take the fourth root of both sides



{{{x=root(4,625)/root(4,81)}}} Break up the root



{{{x=5/3}}} Take the fourth root of 625 to get 5. Take the fourth root of 81 to get 3.