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

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

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simplify log_{10}(x)+2log_{10}(y)+3

simplify

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

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

Solution steps

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

Apply log rule:

a lo g_{c} (b) = lo g_{c} (b^{a})

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

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

Apply log rule:

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

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

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

ln (\frac{4}{48})

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

ln (\frac{1.12}{0.31})

2 lo g_{a} (c) + 3 lo g_{a} (p) + 1

6 lo g_{2} (x - 5) - lo g_{2} (y) + lo g_{2} (x)

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