SOLUTION: how do I solve for L in this equation 5L = 69120 * L^4/ 13824^2 Thanks!!

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Question 608578: how do I solve for L in this equation
5L = 69120 * L^4/ 13824^2
Thanks!!

Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
5L = 69120 * L^4/ 13824^2
multiplying both sides by 13824^2:
5L*13824^2 = 69120 * L^4
dividing both sides by 5:
L*13824^2 = 13824 * L^4
dividing both sides by L:
13824^2 = 13824 * L^3
dividing both sides by 13824:
13824 = L^3
take the cube root of both sides:
24 = L