What is expand log_{10}(3xy^3) ?

The solution to expand log_{10}(3xy^3) is log_{10}(3)+log_{10}(x)+3log_{10}(y)

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expand log_{10}(3xy^3)

expand

lo g_{10} (3 x y^{3})

lo g_{10} (3) + lo g_{10} (x) + 3 lo g_{10} (y)

Solution steps

lo g_{10} (3 x y^{3})

Apply log rule:

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

lo g_{10} (3 x y^{3}) = lo g_{10} (3) + lo g_{10} (x) + lo g_{10} (y^{3})

= lo g_{10} (3) + lo g_{10} (x) + lo g_{10} (y^{3})

Apply log rule:

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x)

lo g_{10} (y^{3}) = 3 lo g_{10} (y)

= lo g_{10} (3) + lo g_{10} (x) + 3 lo g_{10} (y)

ln (\frac{x ^{2}}{y ^{4}})

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

- lo g_{10} (6 \cdot 1 0^{- 2})

- lo g_{10} (2.2 \cdot 1 0^{- 7})

\frac{1}{3} ln (\frac{3 + 5}{2})

What is expand log_{10}(3xy^3) ?
The solution to expand log_{10}(3xy^3) is log_{10}(3)+log_{10}(x)+3log_{10}(y)