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Expo 7629 (Posted on 2021-09-27)

7^x + 6^x - 2^x = 9^x

List all integer solutions of the above equation.

No Solution Yet Submitted by Ady TZIDON

Rating: 4.0000 (1 votes)

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Solution

| Comment 4 of 7 |

9^x + 2^x is going to grow faster than 7^x + 6^x. Hence, there can be, at most, a single solution. By inspection, this turns out to be x=2.

Posted by FrankM on 2021-09-28 15:29:03

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