Exponential and Logarithmic Functions - Simultaneous Exponential Equations

Exponential and Logarithmic Functions - Simultaneous Exponential Equations

Solve the following simultaneous equations,

\({5^{x}(125)^{2y} = 1}\)

\({ \qquad\;\;\;\;\, \frac{9^{y}}{\sqrt{3^{x}}} = \frac{1}{729}}\)

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Answer:\(x=\frac{36}{5}\), \(y=-\frac{6}{5}\)

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