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Home » Combine logs: \(\log_2(x(x-3)) = 3\) - SUpost

Combine logs: \(\log_2(x(x-3)) = 3\) - SUpost

📅 July 6, 2026 👤 scraface

Jul 06, 2026

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For $ x = 3 $:
$ 27a + 9b + 3c + d = 15 $
For $ x = 4 $:
$ 64a + 16b + 4c + d = 24 $
Subtract equations to eliminate $ d $:
Now (E) â (D): $ (9a - 6a) + (b - b) = 1 - 1 $ â $ 3a = 0 $ â $...
Then from (D): $ 6(0) + b = 1 $ â $ b = 1 $
From (A): $ 7(0) + 3(1) + c = 5 $ â $ 3 + c = 5 $ â $ c = 2 $
From (1): $ 0 + 1 + 2 + d = 3 $ â $ d = 0 $
Thus, $ f(x) = x^2 + 2x $, a quadratic, but consistent with the data....

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