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Question
Solve log5 – x (x2 – 6x + 65) = 2
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Solution
log5 – x(x2 – 6x + 65) = 2
⇒ x2 – 6x + 65 = (5 – x)2
⇒ x2 – 6x + 65 = 25 + x2 – 10x
⇒ x2 – 6x + 65 – 25 – x2 + 10x = 0
⇒ 4x + 40 = 0
⇒ 4x = – 40
⇒ x = – 10
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