CATAlgebra > Hard32\frac{3}{2}2352\frac{5}{2}2512\frac{1}{2}213✅ Correct Option: 3Related questions:CAT 2020 Slot 3If a,b,ca, b, ca,b,c are non-zero and 14a=36b=84c14^a = 36^b = 84^c14a=36b=84c, then 6b(1c−1a)6b \left( \frac{1}{c} - \frac{1}{a} \right)6b(c1−a1) is equal toCAT 2020 Slot 2The number of integers that satisfy the equality (x2−5x+7)x+1=1(x^2 - 5x + 7)^{x + 1} = 1(x2−5x+7)x+1=1 is2025 Slot 3If 1212x×424x+12×52y=84z×2012x×2433x−612^{12x}\times4^{24x+12}\times5^{2y}=8^{4z}\times20^{12x}\times243^{3x-6}1212x×424x+12×52y=84z×2012x×2433x−6, where xxx, yyy and zzz are natural numbers, then x+y+zx+y+zx+y+z equals