2024 IGCSE Additional Mathematics May/June 0606/13 Q11

6 marks

Solve the following simultaneous equations, giving your answers in exact form.

\(8\log_3x+12\log_{81}y=5\)

\(4\log_9x+3\log_3y=2\)[6]

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Answer:\(x=\sqrt3,\quad y=\sqrt[3]3\)

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