In the expression 3tan(3x) = 7tan(7x), what is x?

I have these two functions, a(x) = 3tan(3x), and b(x) = 7tan(7x). What I want to do here is equate them so that I can solve for all of the possible values of x. This gives me 3tan(3x) = 7tan(7x). Now I need to isolate x. But how is this done? I'm aware that there are an infinite number of solutions for x,... show more I have these two functions, a(x) = 3tan(3x), and b(x) = 7tan(7x).

What I want to do here is equate them so that I can solve for all of the possible values of x. This gives me 3tan(3x) = 7tan(7x). Now I need to isolate x.

But how is this done? I'm aware that there are an infinite number of solutions for x, so I want to find the smallest possible value of x. For this example let's use radians, not degrees.

How can I do this?

Thanks!
1 answer