﻿ The set  is equal to : Kaysons Education

# The Set  is Equal To

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## Question

### Solution

Correct option is

[1/5, )

If log1/5 x ≤ 1 i.e. x ≥ 1/5 then the give equality reduces to

1 – log1/5 x + 2 = 3 – log1/5 x which is trivially true. If 1 < log1/5 x ≤ 3 then the given equality becomes log1/5 x – 1 + 2 = 3 – log1/5 x

⇒ 2log1/5­ x = 2⇒ log1/5 x = 1 which is not true.

Also if log1/5 x – 3 than the given equality reduces to log1/5 x – 1 + 2 = log1/5 x – 3 which clearly is not true.

Hence the required set is equal to [1/5, ∞].

#### SIMILAR QUESTIONS

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Q7

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Q9

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Q10

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