`sqrt(10000)=(100)^x` find `x`

If x=(100)^(a),y=(10000)^(b) and z=(10)^(c) find log(10sqrt(y))/(x^(2)z^(3)) in terms of a,b and c

If x = (100)^(a), y = (10000)^(b) and z = (10)^(c) , find "log" (10 sqrt(y))/(x^(2)z^(3)) in terms of a, b and c.

Evaluate [(1)/(sqrt(2))+(1)/(sqrt(3))+...+(1)/(sqrt(10000))] where [x] is greatest integer <=x]]

If x=sqrt(100) , then find the value of (x^3+x^2)/(x)

If x= (2sqrt(10))/7 find the value of (sqrt(1+x)+sqrt(1-x))/(sqrt(1+x)-sqrt(1-x))

If x=(1)/(sqrt(3)-sqrt(2)) find x+(1)/(x)

If sqrt(x)-sqrt(12)=sqrt(4)-sqrt(x) , then find x .

y=sqrt(x+sqrt(x+sqrt(x)...)) find dy/dx

if y=(sqrt(a+x)-sqrt(a-x))/(sqrt(a+x)+sqrt(a-x)) find the value of (dy)/(dx)