`sqrt(((3)/(7))^(x+1))=(343)/(27`

Find x, if : (sqrt((3)/(5)))^(x+1)=(125)/(27)

Find the number of integers 1<=x<=2010 such that the expression (x+(x+8)sqrt((x-1)/(27)))^((1)/(3))-(x+(x+8)sqrt((x-1)/(27)))^((1)/(3))

((1)/(343))^(-(2)/(3))

(27^(((1)/(5)))((x)/(4)-sqrt((x)/(3))))^((x)/(4)+sqrt((x)/(3)))=3^((7)/(4))

sqrt(1+(55)/(729))=1+(x)/(27), then the value of x is (a)1(b)3(c)5(d)7

7sqrt(3)+2sqrt(27)

sqrt(7sqrt(7sqrt(7...)))=(343)^(y-1) then y=