What is log_{10}(by)-3log_{10}(b)z ?

The solution to log_{10}(by)-3log_{10}(b)z is log_{10}(b)+log_{10}(y)-3log_{10}(b)z

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simplify log_{10}(by)-3log_{10}(b)z

simplify

lo g_{10} (b y) - 3 lo g_{10} (b) z

lo g_{10} (b) + lo g_{10} (y) - 3 lo g_{10} (b) z

Solution steps

lo g_{10} (b y) - 3 lo g_{10} (b) z

Apply log rule:

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

lo g_{10} (b y) = lo g_{10} (b) + lo g_{10} (y)

= lo g_{10} (b) + lo g_{10} (y) - 3 z lo g_{10} (b)

ln (\frac{1}{2.71 8 ^{3}})

ln (10 \cdot 1 0^{- 6})

ln (\frac{x}{d})

ln (\frac{4}{10})

ln (\frac{2982}{234.3})

What is log_{10}(by)-3log_{10}(b)z ?
The solution to log_{10}(by)-3log_{10}(b)z is log_{10}(b)+log_{10}(y)-3log_{10}(b)z