Question 251778
{{{log(3,(21))-log(3,(7))=log(3,(y))}}} Start with the given equation.




{{{log(3,(21/7))=log(3,(y))}}} Combine the logs on the left side using the identity {{{log(b,(A))-log(b,(B))=log(b,(A/B))}}}



{{{log(3,(3))=log(3,(y))}}} Reduce.



{{{3=y}}} Since the bases of the logs are equal, the arguments (the expressions inside the logs) are equal.



So the solution is {{{y=3}}}