Question

please answer this question

Answer 1

2401 can written as 7*7*7*7 =7^4
root 2401= root(7^x)
root(7^4) = root(7^x)
squaring both sides,
7^4=7^x
comparing the powers, we get,
4=x

hope this helps!
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Answer 2

Hey here is your answer
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$\sqrt{2401} = \sqrt{ {7}^{x} } \\ \\ \sqrt{ {49}^{2} } = \sqrt{ {7}^{x} } \\ \\ 49 = \sqrt{ {7}^{x} }\\ \\ {( {7}^{2} )}^{2} = {7}^{x} \\ \\ {7}^{4} = {7}^{x} \\ \\ x = 4$
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