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Solve for x. log2 + log(x + 3) – log(3x – 5) = log3 - Mathematics and Statistics

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प्रश्न

Solve for x.

log2 + log(x + 3) – log(3x – 5) = log3

बेरीज

उत्तर

log2 + log(x + 3) – log(3x – 5) = log3

∴ log [2(x + 3)] –  log(3x – 5) = log3

∴ `log[(2x + 6)/(3x - 5)]` = log3

∴ `(2x + 6)/(3x - 5)` = 3

∴ 2x + 6 = 9x – 15

∴ 7x  = 21

∴ x = 3

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पाठ 6: Functions - Exercise 6.1 [पृष्ठ ११९]

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