Question

es una ecuacion logaritmica me ayudan porfas​

Answer 1

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$log(2x) - log(y) = 1 \\ log( \frac{2x}{y} ) = 1 \\ \frac{2x}{y} = 10 \\ \frac{x}{y} = \frac{5k}{1k}$

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${10}^{x - 3y} = 3 \\ {10}^{(5k) - 3(k)} = 3 \\ {10}^{2k} = 3 \\ log( {10}^{2k} ) = log(3) \\ 2k log(10) = log(3) \\ 2k \times 1 = log(3) \\ k = \frac{ log(3) }{2}$

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$x = 5k \\ x = 5( \frac{ log(3) }{2} ) \\ x = \frac{5}{2} log(3)$

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$y = k \\ y = \frac{1}{2} log(3)$