What is log_{10}(a)+log_{10}(b) ?

The solution to log_{10}(a)+log_{10}(b) is log_{10}(ab)

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simplify log_{10}(a)+log_{10}(b)

simplify

lo g_{10} (a) + lo g_{10} (b)

lo g_{10} (ab)

Solution steps

lo g_{10} (a) + lo g_{10} (b)

Apply log rule:

lo g_{a} (x) + lo g_{a} (y) = lo g_{a} (x y)

lo g_{10} (a) + lo g_{10} (b) = lo g_{10} (ab)

= lo g_{10} (ab)

lo g_{10} (5 x)

lo g_{10} (3 x)

lo g_{4} (2) + lo g_{4} (5)

lo g_{10} (x y)

ln (\frac{1}{10})

What is log_{10}(a)+log_{10}(b) ?
The solution to log_{10}(a)+log_{10}(b) is log_{10}(ab)