How to calculate the unknown variable (in upper limit) in integration, which is present on both sides of the "equal to" operator?

Hi,

I have an integral of the form,

∫ [f(t) d log(t)] (over the limits 0 to Py/x1) = ∫ [f(t) d log(t)] (over the limits Py/x2).

I am trying to calculate the value of x1 & x2. x2 is 1-x1. The function f(t) is known to me. I have tried using the conventional 'integrate' syntax. But I am not getting how to integrate with MATLAB over d log(t). Also, what would be the proper syntax such that I get the value of x1?

Thank you.