Question 129561
{{{log(3,(4))-log(3,(x))=2}}}



{{{log(3,(4/x))=2}}} Combine the logs using the identity {{{log(b,(A))-log(b,(B))=log(b,(A/B))}}}




{{{3^(2)=4/x}}} Rewrite the equation using the property: {{{log(b,(x))=y}}} ====> {{{b^y=x}}}



{{{9=4/x}}} Evaluate {{{3^(2)}}} to get {{{9}}}



{{{9x=4}}} Multiply both sides by x



{{{x=4/9}}} Divide both sides by 9 to isolate x



So the answer is {{{x=4/9}}} which means that the answer is C)