What is log_{10}(9.28)-log_{10}(5.8) ?

The solution to log_{10}(9.28)-log_{10}(5.8) is log_{10}(8/5)

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simplify log_{10}(9.28)-log_{10}(5.8)

simplify

lo g_{10} (9.28) - lo g_{10} (5.8)

lo g_{10} (\frac{8}{5})

Decimal Notation

0.20411 \dots

Solution steps

lo g_{10} (9.28) - lo g_{10} (5.8)

Apply log rule:

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

lo g_{10} (9.28) - lo g_{10} (5.8) = lo g_{10} (\frac{9.28}{5.8})

= lo g_{10} (\frac{9.28}{5.8})

\frac{9.28}{5.8} = \frac{8}{5}

= lo g_{10} (\frac{8}{5})

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What is log_{10}(9.28)-log_{10}(5.8) ?
The solution to log_{10}(9.28)-log_{10}(5.8) is log_{10}(8/5)