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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
1 year, 2 months ago

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Please limit your @mentions to at most 5 people. · 1 year, 2 months ago

Sorry for that,but still no one replied !! · 1 year, 2 months ago

@Pi Han Goh ,Thanks!

Can you help me solve this!? · 1 year, 2 months ago

Is ithe dot multiplication sign or subtraction?

If multiplication , then take ligx=a and logy=b and then proceed.It would be easier now. · 1 year, 2 months ago

Its Logx+log(xy^8)/(logx)²+(logy)²=2

Logy+log(x^8y)/(logx)²+(logy)²=0 · 1 year, 2 months ago