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

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

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## Comments

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TopNewest@Calvin Lin @Nihar Mahajan @Swapnil Das @Svatejas Shivakumar @Sravanth Chebrolu @Brian Charlesworth @Rajdeep Dhingra @Mehul Arora can someone help me!

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Please limit your @mentions to at most 5 people.

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Sorry for that,but still no one replied !!

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@Pi Han Goh ,Thanks!

Can you help me solve this!?

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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.

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Its Logx+log(xy^8)/(logx)²+(logy)²=2

Logy+log(x^8y)/(logx)²+(logy)²=0

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Where is the answer

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