# 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
2 years, 1 month ago

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- 2 years, 1 month ago

- 2 years, 1 month ago

Sorry for that,but still no one replied !!

- 2 years, 1 month ago

@Pi Han Goh ,Thanks!

Can you help me solve this!?

- 2 years, 1 month 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.

- 2 years, 1 month ago

Its Logx+log(xy^8)/(logx)²+(logy)²=2

Logy+log(x^8y)/(logx)²+(logy)²=0

- 2 years, 1 month ago