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Logarithmic Tactics!

\[ \large \log x + \dfrac{ \log(xy^8)}{(\log x)^2 + (\log y)^2 } = 2, \qquad \log y + \dfrac{ \log \left( \dfrac{x^8}y \right)}{(\log x)^2 + (\log y)^2 } = 0 \]

Let \(x\) and \(y\) satisfy the system of equations above. Find the product \(xy\).

Note by Naitik Sanghavi
7 months ago

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@Naitik Sanghavi Please limit your @mentions to at most 5 people. Abdur Rehman Zahid · 7 months ago

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@Abdur Rehman Zahid Sorry for that,but still no one replied !! Naitik Sanghavi · 7 months ago

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@Pi Han Goh ,Thanks!

Can you help me solve this!? Naitik Sanghavi · 7 months ago

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Is ithe dot multiplication sign or subtraction?

If multiplication , then take ligx=a and logy=b and then proceed.It would be easier now. Harsh Shrivastava · 7 months ago

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@Harsh Shrivastava Its Logx+log(xy^8)/(logx)²+(logy)²=2

Logy+log(x^8y)/(logx)²+(logy)²=0 Naitik Sanghavi · 7 months ago

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