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Find the value of x in the following: log_𝑥 ⁡10 = 1/2 - Mathematics

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Question

Find the value of x in the following:

`log_x 10 = 1/2`

Sum
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Solution

To solve `log_x 10 = 1/2`, convert it to exponential form:

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

Now square both sides to eliminate the square root:

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

⇒ x = 100

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Chapter 7: Logarithms - EXERCISE 7A [Page 72]

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B Nirmala Shastry Mathematics [English] Class 9 ICSE
Chapter 7 Logarithms
EXERCISE 7A | Q 4. (vi) | Page 72
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