If `2(x-2)^(2/3)=1/9` then x is equal to

Match the column Column I, Column II If x=3,t h e n(log)_4(2(log)_3(1+(log)_2(1+3Log_3x))) is equal to, p. 3 If x=100 , then 3^((log)_3logsqrt(x))-logx+log^2x is equal to, q. 1 If one of the root of the equation 2((log)_xsqrt(5))^2-3(log)_x(a)+1=0 is sqrt(5) , then the other root is, r. 1/2 If (log)_2(4. 3^x-6)-(log)_2(9^x-6)=1, then x is equal to, s. 5

If x^3+3x^2-9x+c is of the form (x-alpha)^2(x-beta) then c is equal to

If x^3+3x^2-9x+c is of the form (x-alpha)^2(x-beta) then c is equal to

If x^3+3x^2-9x+c is of the form (x-alpha)^2(x-beta) then c is equal to

If x^3+3x^2-9x+c is of the form (x-alpha)^2(x-beta) then c is equal to

Solve for x : 1/ ((x -1)(x -2))+1/( (x-2)(x-3))=2/ 3', x is not equal to 1,2,3 .

If tan^(- 1)\ 1/4+tan^(- 1)\ 2/9=1/2cos^(- 1)x then x is equal to

4^(log_9 3)+9^(log_2 4)=1 0^(log_x 83) , then x is equal to

The third derivative of a function f'''(x) vanishes for all f(0)=1,f'(1)=2 and f''=-1, then f(x) is equal to (-3//2)x^2+3x+9

If |(x^2+x,x+1,x-2),(2x^2+3x-1,3x,3x-3),(x^2+2x+3,2x-1,2x-1)|=ax-12 then 'a' is equal to (1) 12 (2) 24 (3) -12 (4) -24