Pls solve this

Pls solve this Ztriangle. Solve for x and find the value of (18X) 1/2 if 52x z; 52x+ I -k 600

5^(2x+3) = 5^(2x+1) + 600
5^(2x+3) - 5^(2x+1) = 600
5^(2x+1) *( 5^2 -1 ) = 600
5^(2x+1) *24 = 600
5^(2x+1)  = 600/24 = 25 = 5^2
thus 2x +1 = 2
2x = 2 -1 = 1
x  = 1/2

(18x)^(1/2) = (18 *1/2 ) ^(1/2) = (9)^(1/2) = 3