TMUA Practice Question — Worked Solution

P1·Indices, Logarithms & Exponentials·6.0Mock 0 · P1 · Q15

simultaneous equationslaws of indicesexponential equationslogarithms

The real numbers

x

and

y

satisfy the simultaneous equations

4^{x} \times 3^{y} = 10 and 9^{x} \times 2^{y} = 15

What is the value of

x

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