#1597 · Algebra · Exponentials & logarithms

Simultaneous exponential equations II

Solve the simultaneous equations $3^{1 - x - y} = 4^{- y}$ and $2^{2 x - 1} = 3^{3 y - x}$ , given $lo g 2$ , $lo g 3$ , and $lo g 7$ .

~15 minAnswer checked instantlysimultaneous equationslogarithms

H. S. Hall & S. R. Knight, Higher Algebra (1891) · Ch. XVI. Logarithms, Examples XVI.b, No. 30

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Checked against the answer in H. S. Hall & S. R. Knight, Higher Algebra (1891).