If y = log x + log x^(1/3) + log x^(1/9) + .. and (2 + 4 + 6 + ⋯ + 2y)/(3 + 6 + 9 + ⋯ + 3y) = 1/9 log x then the values of x and y are

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06/01/2022 12:51 pm

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Shilpi98

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If y = log x + log x^(1/3) + log x^(1/9) + .. and (2 + 4 + 6 + ⋯ + 2y)/(3 + 6 + 9 + ⋯ + 3y) = 1/9 log x then the values of x and y are

(a) x = 10⁵, y = 8

(b) x = 10⁶, y = 9

(d) x = 10⁵, y = 9

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06/01/2022 12:52 pm

Riya08

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Correct answer: (b) x = 10⁶, y = 9

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