If $a^{2x-1} = b^{1-3y}$ and $a^{3x-1} = b^{2y-2}$, show $13xy = 7x +5y -3.$ If $a^{2x-1} = b^{1-3y}$ and  $a^{3x-1} = b^{2y-2}$, show $13xy = 7x +5y -3.$ 
I apologize in advance if this forum finds this question trivial but I am desperate for any help, will appreciate it. Thanks.

take the $\log $ for both equation if$( a>1 $ and $b>1)$
$$\frac{\log b}{\log a}=\frac{2x-1}{1-3y}$$
$$\frac{\log b}{\log a}=\frac{3x-1}{2y-2}$$
then
$$\frac{2x-1}{1-3y}=\frac{3x-1}{2y-2}$$
