What is log_{10}(2)-log_{10}(5) ?

The solution to log_{10}(2)-log_{10}(5) is log_{10}(2/5)

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simplify log_{10}(2)-log_{10}(5)

simplify

lo g_{10} (2) - lo g_{10} (5)

lo g_{10} (\frac{2}{5})

Decimal Notation

- 0.39794 \dots

Solution steps

lo g_{10} (2) - lo g_{10} (5)

Apply log rule:

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

lo g_{10} (2) - lo g_{10} (5) = lo g_{10} (\frac{2}{5})

= lo g_{10} (\frac{2}{5})

lo g_{10} (\frac{ab}{c d})

lo g_{2} (x^{2}) + lo g_{2} (x^{3})

lo g_{2} (8 a)

ln (\frac{x + 3}{x - 3})

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

What is log_{10}(2)-log_{10}(5) ?
The solution to log_{10}(2)-log_{10}(5) is log_{10}(2/5)