#1584 · Algebra · Exponentials & logarithms

Logarithm of a fractional radical expression

Given $lo g 2$ and $lo g 3$ , find $lo g 3 (\frac{3 ^{2} 5 ^{4}}{2})$ .

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H. S. Hall & S. R. Knight, Higher Algebra (1891) · Ch. XVI. Logarithms, Examples XVI.b, No. 17

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