`log_sqrt3sqrtx=3` Find the value of `x`

Find the value of : log _ 3 27

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

If x = sqrt(3)- sqrt(2) find the value of x^(3)+ (1)/(x^(3))

If x= ( sqrt5- sqrt3)/ ( sqrt5+ sqrt3) and y= ( sqrt5+ sqrt3)/( sqrt5- sqrt3) find the value of x^(2) + y ^(2)

If x=(sqrt3+sqrt2)/(sqrt3-sqrt2)andy=(sqrt3-sqrt2)/(sqrt3+sqrt2) then find the value of x^(2)+y^(2) ?

(i) If x = (6ab)/(a + b) , find the value of : (x + 3a)/(x - 3a) + (x + 3b)/(x - 3b) . (ii) a = (4sqrt(6))/(sqrt(2) + sqrt(3)) , find the value of : (a + 2sqrt(2))/(a - 2sqrt(2)) + (a + 2sqrt(3))/(a - 2sqrt(3)) .

Find the value of 3^(2log_(9)3) .

If (sqrt(3)-1)/(sqrt(3)+1)=x+ysqrt(3) , find the value of x\ a n d\ y

If x=7-4sqrt3 then find the value of sqrtx+1/sqrtx

Suppose that log_(10)(x-2)+log_(10)y=0and sqrtx+sqrt(y-2)=sqrt(x+y). Then the value of (x+y) is