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Find the positive integer n for which 3^9+3^12+3^15+3^n is a perfect cube of an integer.

 Dec 29, 2019

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Find the positive integer n for which 3^9+3^12+3^15+3^n is a perfect cube of an integer.

 

n = 14 which gives =  19,683,000^(1/3) = 270

 Dec 29, 2019
edited by Guest  Dec 29, 2019
edited by Guest  Dec 29, 2019
 #1
avatar
+1
Best Answer

Find the positive integer n for which 3^9+3^12+3^15+3^n is a perfect cube of an integer.

 

n = 14 which gives =  19,683,000^(1/3) = 270

Guest Dec 29, 2019
edited by Guest  Dec 29, 2019
edited by Guest  Dec 29, 2019

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