Coefficient of constant term in the expansion ofx3+5(3)−log⁡ 3x34 is

Let y=3−log3x3/2⇒log3⁡ y=−log3⁡ x3/2log3⁡ 3=−2log3⁡ x3/2⇒y=x−3(r + 1)th term in the expansion of x3+5x−34 is Tr+1=4Crx34−r5x−3r=4Cr5rx12−3r−3rFor (r + 1)th term to be independent of x, set 12 – 6r=0 or r=2∴ required constant term=4C252=(6)(25)=150