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

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

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expand log_{10}(x^2y)

expand

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

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

Solution steps

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

Apply log rule:

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

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

= 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)

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

\frac{1}{4000} ln (\frac{999}{19})

ln (4 x^{4} y^{3})

2 ln (7) + ln (2)

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

ln (3.2) - 3 ln (10) - ln (20)

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