What is log_{10}(0.01)-log_{10}(0.001) ?

The solution to log_{10}(0.01)-log_{10}(0.001) is 1

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simplify log_{10}(0.01)-log_{10}(0.001)

simplify

lo g_{10} (0.01) - lo g_{10} (0.001)

1

Solution steps

lo g_{10} (0.01) - lo g_{10} (0.001)

Apply log rule:

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

lo g_{10} (0.01) - lo g_{10} (0.001) = lo g_{10} (\frac{0.01}{0.001})

= lo g_{10} (\frac{0.01}{0.001})

\frac{0.01}{0.001} = 10

= lo g_{10} (10)

Apply log rule:

lo g_{a} (a) = 1

= 1

lo g_{10} (\frac{y}{4 y + 8})

lo g_{10} ((\frac{y}{3})^{2})

ln (\frac{3 ^{x} 6 ^{2 x}}{2 ^{2 x}})

lo g_{10} (\frac{x y ^{3}}{z ^{2}})

ln (y) - ln (y + 1)

What is log_{10}(0.01)-log_{10}(0.001) ?
The solution to log_{10}(0.01)-log_{10}(0.001) is 1