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Condition of Concurrency of 3 Straight Lines

Solve the fol...

Question

Solve the following inequality:
${log}_{5} (3 x - 1) < 1$

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Solution

$3 x - 1 > 0 x > \frac{1}{3}$
And
$log (3 x - 1) < log 5 3 x - 1 < 5 x < 2$
Taking intersection, we get
$x \in (\frac{1}{3}, 2)$

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Condition of Concurrency of 3 Straight Lines

Standard XII Mathematics

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