What is log_{10}(x^2y^5)+log_{10}(xy^{-2}) ?

The solution to log_{10}(x^2y^5)+log_{10}(xy^{-2}) is log_{10}(x^3y^3)

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simplify log_{10}(x^2y^5)+log_{10}(xy^{-2})

simplify

lo g_{10} (x^{2} y^{5}) + lo g_{10} (x y^{- 2})

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

Solution steps

lo g_{10} (x^{2} y^{5}) + lo g_{10} (x y^{- 2})

Apply log rule:

lo g_{a} (x) + lo g_{a} (y) = lo g_{a} (x y)

lo g_{10} (x^{2} y^{5}) + lo g_{10} (x y^{- 2}) = lo g_{10} (x^{2} y^{5} x y^{- 2})

= lo g_{10} (x^{2} y^{5} x y^{- 2})

Simplify

x^{2} y^{5} x y^{- 2} : x^{3} y^{3}

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

2.648 - 3.3009 - 0.287 ln (\frac{20}{230})

ln (\frac{x ^{6} x ^{2} + 3}{( x + 3 ) ^{4}})

lo g_{12} (A) - lo g_{12} (C)

2 (ln (ln (\frac{3}{2})) + ln (ln (\frac{5}{2})))

lo g_{3} (27 x^{2})

What is log_{10}(x^2y^5)+log_{10}(xy^{-2}) ?
The solution to log_{10}(x^2y^5)+log_{10}(xy^{-2}) is log_{10}(x^3y^3)