Exponential and Logarithmic Functions - Simultaneous Exponential Equations

Exponential and Logarithmic Functions - Simultaneous Exponential Equations

TGM Original Questions

Solve the simultaneous equations,

\({27^x \cdot 3^y = \frac{3^9}{3^{5y}}}\)

\({5^{x+y} \cdot 5^{-5y} = 1}\)

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Answer:\(x = 2\), \(y = \frac{1}{2}\)

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