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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

योग
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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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अध्याय 6: Functions - Exercise 6.1 [पृष्ठ ११९]

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बालभारती Mathematics and Statistics 2 (Arts and Science) [English] Standard 11 Maharashtra State Board
अध्याय 6 Functions
Exercise 6.1 | Q 25. (a) | पृष्ठ ११९
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