CATModern Math > Medium333−3-3−33+332\frac{3+\sqrt{33}}{2}23+3333\sqrt{33}33✅ Correct Option: 3Related questions:CAT 2019 Slot 1Let xxx and yyy be positive real numbers such that log5(x+y)+log5(x−y)=3\log _{5}(x+y)+\log _{5}(x-y)=3log5(x+y)+log5(x−y)=3, and log2y−log2x=1−log23\log _{2} y-\log _{2} x=1-\log _{2} 3log2y−log2x=1−log23. Then xyx yxy equalsCAT 2018 Slot 2If p3=q4=r5=s6p^3 = q^4 = r^5 = s^6p3=q4=r5=s6, then the value of logs(pqr)\log_s(pqr)logs(pqr) is equal toCAT 2021 Slot 2For all possible integers nnn satisfying 2.25≤2+2n+2≤2022.25 \leq 2+2^{n+2} \leq 2022.25≤2+2n+2≤202, the number of integer values of 3+3n+13+3^{n+1}3+3n+1 is