What is expand log_{10}(3xy^2) ?

The solution to expand log_{10}(3xy^2) is log_{10}(3)+log_{10}(x)+2log_{10}(y)

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expand log_{10}(3xy^2)

expand

lo g_{10} (3 x y^{2})

lo g_{10} (3) + lo g_{10} (x) + 2 lo g_{10} (y)

Solution steps

lo g_{10} (3 x y^{2})

Apply log rule:

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

lo g_{10} (3 x y^{2}) = lo g_{10} (3) + lo g_{10} (x) + lo g_{10} (y^{2})

= lo g_{10} (3) + lo g_{10} (x) + lo g_{10} (y^{2})

Apply log rule:

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

lo g_{10} (y^{2}) = 2 lo g_{10} (y)

= lo g_{10} (3) + lo g_{10} (x) + 2 lo g_{10} (y)

- lo g_{10} (3.8 \cdot 1 0^{- 6})

ln (\frac{7 + e ^{x}}{7 - e ^{x}})

\frac{1}{2} ln (\frac{1}{4})

20 \cdot lo g_{10} (4 \cdot 3.1415 \cdot x \cdot (8.16))

lo g_{2} (3 a)

What is expand log_{10}(3xy^2) ?
The solution to expand log_{10}(3xy^2) is log_{10}(3)+log_{10}(x)+2log_{10}(y)