Question

If X1/12 = 491/24 then find the value of X. 
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Answer 1

Given: $x^{\frac{1}{12} } = 49^{\frac{1}{24} }$

To find: The value of x.

Solution:

• The number 49 in the question can be written in exponential form as follows,

        $49 = 7^{2}$

• So now, the given equation can be written as,

        $x^{\frac{1}{12} } = 7^{2* \frac{1}{24} }$

        $x^{\frac{1}{12} } = 7^{\frac{1}{12} }$

• So, the power on the number 7 is the same as on the variable x.
• On comparing both the expressions on either side of the equal to sign, x is equal to 7.

Therefore, the value of x is 7.

Answer 2

Answer:

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Step-by-step explanation: