If and , the values of and…

MATHEMATICS · Single correct · A Level · Mathematics · Exponentials and logarithms · Exponentials and logarithms

Problem

If 272m−n=1927^{2m-n} = \frac{1}{9} and 493m−2n=749^{3m-2n} = 7, the values of mm and nn are: (A) m=−2;n=1m = -2; n = 1 (B) m=1;n=−2m = 1; n = -2 (C) m=−3;n=−116m = -3; n = -\frac{11}{6} (D) m=−116;n=−3m = -\frac{11}{6}; n = -3

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