What is expand log_{10}(7x^3) ?

The solution to expand log_{10}(7x^3) is log_{10}(7)+3log_{10}(x)

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expand log_{10}(7x^3)

expand

lo g_{10} (7 x^{3})

lo g_{10} (7) + 3 lo g_{10} (x)

Solution steps

lo g_{10} (7 x^{3})

Apply log rule:

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

lo g_{10} (7 x^{3}) = lo g_{10} (7) + lo g_{10} (x^{3})

= lo g_{10} (7) + lo g_{10} (x^{3})

Apply log rule:

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

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

= lo g_{10} (7) + 3 lo g_{10} (x)

ln (\frac{e ^{- 3 y}}{3})

ln (\frac{3 ( 1 ) ^{2}}{2 - 1})

- lo g_{10} (3 \cdot 1 0^{5})

3 ln (\frac{y}{x} - 1)

\frac{1}{2} (ln (11) - 3 ln (2))

What is expand log_{10}(7x^3) ?
The solution to expand log_{10}(7x^3) is log_{10}(7)+3log_{10}(x)