Exponential and Logarithmic Functions - Simultaneous Exponential Equations

Exponential and Logarithmic Functions - Simultaneous Exponential Equations

Solve the following simultaneous equations,

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

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

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Answer:\(x=\dfrac{36}{5}\), \(y=-\dfrac65\)

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