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Mathematics

If log (5x - 4) - log (x + 1) = log 4, the value of x is :

  1. 6

  2. 8

  3. 4

  4. 12

Logarithms

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Answer

Given,

⇒ log (5x - 4) - log (x + 1) = log 4

⇒ log 5x4x+1\dfrac{5x - 4}{x + 1} = log 4

5x4x+1=4\dfrac{5x - 4}{x + 1} = 4

⇒ 5x - 4 = 4(x + 1)

⇒ 5x - 4 = 4x + 4

⇒ 5x - 4x = 4 + 4

⇒ x = 8.

Hence, Option 2 is the correct option.

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