6 . C
This might look at first glance like a candidate for cross multiplication,
but that would just make things more complicated. Notice that the
fractions on both sides have the same numerator, 19. So the numerator
is irrelevant. If the two fractions are equal and they have the same
numerator, then they must have the same denominator. So just write an
equation that says that one denominator is equal to the other
denominator:
7 . C
Watch what happens when you express everything as powers of 3:
The left side of the equation is the product of powers with the same base,
so just add the exponents:
Now the two sides of the equation are powers with the same base, so you
can just set the exponents equal: