SOLUTION: Captain Jeff Banker, in Altus, Oklahoma, finished flight training on the C-17, an Air Force cargo plane, and the plane weighs 585,000 pounds. At altus the base has three runways wh

Algebra ->  Algebra  -> Exponential-and-logarithmic-functions -> SOLUTION: Captain Jeff Banker, in Altus, Oklahoma, finished flight training on the C-17, an Air Force cargo plane, and the plane weighs 585,000 pounds. At altus the base has three runways wh      Log On

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Question 64633: Captain Jeff Banker, in Altus, Oklahoma, finished flight training on the C-17, an Air Force cargo plane, and the plane weighs 585,000 pounds. At altus the base has three runways where runway A is 3500 ft. long, Runway B is 13,500 ft long and runway C is 15000 ft. long. on which runways could captain banker takeoff in the c-17 if the minimum runway length(in thousans of feet) is given by the function L(x)=3 log x, where x is the weight of the plane in the thousands of pound? Justify answer.
Answer by Earlsdon(6103) About Me  (Show Source):
You can put this solution on YOUR website!
Minimum runway length (L, in thousands of feet) for take-off is given by:
L%28x%29+=+3%2Alog%28%28x%29%29 where x = weight of plane in thousands of pounds = 585
L%28585%29+=+3%2Alog%28%28585%29%29
L%28585%29+=+3%2A2.767155
L+=+8.301 thousands of feet.
L+=+8301feet.
Runways B and C could be used.
Runway A, at 3,500 feet would be under the minimum runway length.