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Logarithmic Differentiation

Solve the fol...

Question

Solve the following equation:
$\frac{2 log x}{log (5 x - 4)} = 1$

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Solution

$log x^{2} = log (5 x - 4) x^{2} = 5 x - 4 \Rightarrow x - 5 x + 4 = 0 (x - 4) (x - 1) = 0 x = 1, 4$

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