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Select the correct answer from given alternatives. If log (5x – 9) – log (x + 3) = log 2 then x = ............... - Mathematics and Statistics

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Question

Select the correct answer from given alternatives.

If log (5x – 9) – log (x + 3) = log 2 then x = ...............

Options

  • 3

  • 5

  • 2

  • 7

MCQ

Solution

If log (5x – 9) – log (x + 3) = log 2 then x = 5

Explanation:

log (5x – 9) – log (x + 3) = log 2

`therefore (5x - 9)/(x + 3) = 2`

`therefore 3x = 9 + 6`

∴ x = 5

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Chapter 6: Functions - Miscellaneous Exercise 6.1 [Page 129]

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