If `root(3)(5j-7)=-(1)/(2)`, what is the value of j ?

If (2)/(3)j-(1)/(4)k=(5)/(2) , what is the value of 8j-3k ?

If 3j-(k_5)=16-4k , what is the value of j+k ?

Whenever j and k are positive integers such that (sqrt3)^(j) = 27^(k) , what is the value of j/k ?

If points (0,4), (0, -3), (7, -3), and (j, 4) are consecutive vertices of a trapezoid of area 35, what is the value of j ?

If a_(1),a_(2),a_(3) are the roots of z^(3)-3z^(2)+3z+7=0, then find the value of |sum_(i!=j)((a_(i)-1)/(a_(j)-1))|

P(0),P(J)=(1/3)^j , j=1,2,3 then find the value of P(J) when J is even and positive integer

[(1,3),(-2,4)]+[(11,5),(-6,12)]=K[(3,2),(J,M)] . Find the value of K+J+M.

If I=int_(0)^(1)(dx)/(1+sqrt(x)),J=int_(0)^(1)(dx)/(1+root(3)(x)) ,then the value of 3I+2J is