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

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

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

simplify

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

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

Decimal Notation

0.39794 \dots

Solution steps

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

Apply log rule:

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

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

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

lo g_{10} (\frac{3 a ^{2} b c}{2})

ln (\frac{a ^{- 2}}{b ^{- 4} c ^{5}})

lo g_{7} (u) + 6 lo g_{7} (v)

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

ln (x^{4} - 4) - ln (x^{2} + 2)

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