junior college 2 chevron_right H1 Maths

I have been given the equation derived from Maxwell thermodynamic relations. I must reduce the equation to the ideal gas law. The issue is that the exponential must be reduced and the only method is to get the ln() across the entire equation. I then have ln() and to cancel I need to get the "e" across the equation, but then I will have the exponential again and the cycle continues!

Regarding the entropy, S, they should cancel on both sides of the equation.