What is log_{5}(2)-log_{5}(3) ?

The solution to log_{5}(2)-log_{5}(3) is log_{5}(2/3)

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simplify log_{5}(2)-log_{5}(3)

simplify

lo g_{5} (2) - lo g_{5} (3)

lo g_{5} (\frac{2}{3})

Decimal Notation

- 0.25192 \dots

Solution steps

lo g_{5} (2) - lo g_{5} (3)

Apply log rule:

lo g_{a} (x) - lo g_{a} (y) = lo g_{a} (\frac{x}{y})

lo g_{5} (2) - lo g_{5} (3) = lo g_{5} (\frac{2}{3})

= lo g_{5} (\frac{2}{3})

ln (\frac{1}{x !})

lo g_{b} (\frac{x ^{2} \cdot y}{z ^{6}})

\frac{1}{2} lo g_{4} (25) + lo g_{4} (2)

- \frac{2}{3} lo g_{b} (x + 1) - \frac{1}{4} lo g_{b} (x + 2)

What is log_{5}(2)-log_{5}(3) ?
The solution to log_{5}(2)-log_{5}(3) is log_{5}(2/3)