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If 10x = 64, What is the Value of 10 X 2 + 1 ? - Mathematics

MCQ

If 10x = 64, what is the value of \[{10}^\frac{x}{2} + 1 ?\]

Options

  • 18

  • 42

  • 80

  • 81

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Solution

We have to find the value of  `10^(x/2+1)`provided `10^x = 64`

So,

`10^(x/2 xx 1) = 10^(x xx1/2) xx 10^1`

`= 2sqrt(10^x) xx 10^1`

By substituting  `10x = 64 `we get 

`=2sqrt 64 xx 10^1`

`=2sqrt (8xx8 )xx10`

`=8xx10`

`= 80`

  Is there an error in this question or solution?
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APPEARS IN

RD Sharma Mathematics for Class 9
Chapter 2 Exponents of Real Numbers
Q 38 | Page 33
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