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

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

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expand log_{10}(3x^2y)

expand

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

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

Solution steps

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

Apply log rule:

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

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

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

Apply log rule:

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

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

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

ln (\frac{23}{0.22})

4 lo g_{10} (x) + lo g_{10} (x^{2}) - lo g_{10} (x^{4})

lo g_{9} (\frac{2 x ^{3}}{3})

\frac{1}{2} lo g_{a} (x) - 8 lo g_{a} (y) + lo g_{a} (z)

ln (42)

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