Tamil Nadu Board of Secondary EducationSSLC (English Medium) Class 9th
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If 9x=923, then x = ______ - Mathematics

MCQ

If `sqrt(9^x) = root(3)(9^2)`, then x = ______

Options

  • `2/3`

  • `4/3`

  • `1/3`

  • `5/3`

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Solution

`4/3`

Explanation;

Hint:

`sqrt(9^x) = root(3)(9^2)`

⇒ `(9^x)^(1/2) = (9^2)^(1/3)`

⇒ `9^(x/2) = 9^(2/3)`

`x/2 = 2/3`

3x = 4

 x = `4/3`

Concept: Fractional Index
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APPEARS IN

Samacheer Kalvi Mathematics Class 9th Tamil Nadu State Board
Chapter 2 Real Numbers
Exercise 2.9 | Q 19 | Page 76
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