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

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

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

simplify

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

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

Solution steps

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

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})

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})

ln (\frac{250}{760})

5 ln (x) + 3 ln (y) - 6 ln (z)

6 lo g_{10} (x) - 2 lo g_{10} (x + 1)

lo g_{b} (7 a)

ln (\frac{14}{17})

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