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If (a + 1) = (4a - 3) - 3, then the value of a is

Question

If $lo g (a + 1) = lo g (4 a - 3) - lo g 3$ , then the value of $a$ is

3

6

8

5

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Samuel Discussed

lo g (a + 1) = lo g (4 a - 3) - lo g 3

, then the value of

a

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Text solutionVerified

lo g (a + 1) = lo g (4 a - 3) - lo g 3

∴ lo g (a + 1) = lo g \frac{4 a - 3}{3}

.....(

lo g \frac{a}{b} = lo g a - lo g b

)

∴ a + 1 = \frac{4 a - 3}{3}

∴ 3 a + 3 = 4 a - 3

∴ a = 6

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Question Text	If $lo g (a + 1) = lo g (4 a - 3) - lo g 3$ , then the value of $a$ is
Answer Type	Text solution:1
Upvotes	150