perplexus.info :: Just Math : Increasing and decreasing sides

Increasing and decreasing sides (Posted on 2024-10-17)

For a real number x, how many solutions does the equation 4^x + 7^x + 8^x + 10^x + 14^x + 15^x = 17^x + 19^x have?

No Solution Yet Submitted by Danish Ahmed Khan

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with graphical assistance

| Comment 1 of 2

x=2 appears to be the only solution

found by graphing:

4x + 7x + 8x + 10x + 14x + 15x - 17x - 19x

LHS - RHS has a zero at x=2

Posted by Larry on 2024-10-17 09:59:21

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