Mathematics
Find x, if :
logx (5x - 6) = 2
Logarithms
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Answer
Given,
⇒ logx (5x - 6) = 2
⇒ (5x - 6) = x2
⇒ x2 - 5x + 6 = 0
⇒ x2 - 3x - 2x + 6 = 0
⇒ x(x - 3) - 2(x - 3) = 0
⇒ (x - 2)(x - 3) = 0
⇒ x - 2 = 0 or x - 3 = 0
⇒ x = 2 or x = 3.
Hence, x = 2 or 3.
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