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Let 'a' be a positive real number such that

where [x] is the greatest integer less than or equal to x. Then a is equal to:
  • a)
    10 + loge3
  • b)
    10 - loge(1 + e)
  • c)
    10 + loge2
  • d)
    10 + loge(1 + e)
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
Let a be a positive real number such thatwhere [x] is the greatest int...
Let ≥ a < n + 1, n ∈ W

Here, [a] = n
Now,


⇒ n(e - 1) + (ea - n - 1) = 10e - 9
∴ n = 10 and {a} = loge - 9
So, a = [a] + {a} = (10 + loge2)
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Community Answer
Let a be a positive real number such thatwhere [x] is the greatest int...
Let ≥ a < n + 1, n ∈ W

Here, [a] = n
Now,


⇒ n(e - 1) + (ea - n - 1) = 10e - 9
∴ n = 10 and {a} = loge - 9
So, a = [a] + {a} = (10 + loge2)
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Let a be a positive real number such thatwhere [x] is the greatest integer less than or equal to x. Then a is equal to:a)10 + loge3b)10 - loge(1 + e)c)10 + loge2d)10 + loge(1 + e)Correct answer is option 'C'. Can you explain this answer?
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