What is log_{10}(0.1)-log_{10}(0.01) ?

The solution to log_{10}(0.1)-log_{10}(0.01) is 1

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simplify log_{10}(0.1)-log_{10}(0.01)

simplify

lo g_{10} (0.1) - lo g_{10} (0.01)

1

Solution steps

lo g_{10} (0.1) - lo g_{10} (0.01)

Apply log rule:

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

lo g_{10} (0.1) - lo g_{10} (0.01) = lo g_{10} (\frac{0.1}{0.01})

= lo g_{10} (\frac{0.1}{0.01})

\frac{0.1}{0.01} = 10

= lo g_{10} (10)

Apply log rule:

lo g_{a} (a) = 1

= 1

lo g_{7} (5 y (3 y + 4))

ln (\frac{1}{2 5 ^{k}})

\frac{1}{2} (lo g_{6} (k^{9}) - lo g_{6} (k^{3}))

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

lo g_{4} (4 x^{2})

What is log_{10}(0.1)-log_{10}(0.01) ?
The solution to log_{10}(0.1)-log_{10}(0.01) is 1