5^(x)*root(x)(8^(x-1))=500

if x in N , then the value of x satisfying the equation 5^x*(8^(x-1))^(1/x)=500 is divisible by

if x in N , then the value of x satisfying the equation 5^x*(8^(x-1))^(1/x)=500 is divisible by

if x in N, then the value of x satisfying the equation 5^(x)*(8^(x-1))^((1)/(x))=500 is divisible by

Solve the inequation : root(5)([3/(x+1)+7/(x+2)])lt root(5)(6/(x-1))

Solve the equation : root(5)([3/(x+1)+7/(x+2)])lt root(5)(6/(x-1))

5^x. (8^(x-1))^(1/x)=500

lim_(x rarr 1) (root(5)(x)-1)/(root(4)(x)-1)= _______.

If introot(3)(x).root(5)(1+root(3)(x^(4)))dx=5/8(1+x^(4/a))^((2a)/b)+c (where c is constant of integration), then value of (a+b) is

underset(x to oo)lim (sqrt(x^(2)+1)-root3(x^(2)+1))/(root4(x^(4)+1)-root5(x^(4)+1)))=