What is log_{10}(5xy)+log_{10}(4x)-log_{10}(5xy) ?

The solution to log_{10}(5xy)+log_{10}(4x)-log_{10}(5xy) is log_{10}(4x)

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simplify log_{10}(5xy)+log_{10}(4x)-log_{10}(5xy)

simplify

lo g_{10} (5 x y) + lo g_{10} (4 x) - lo g_{10} (5 x y)

lo g_{10} (4 x)

Solution steps

lo g_{10} (5 x y) + lo g_{10} (4 x) - lo g_{10} (5 x y)

Group like terms

= lo g_{10} (5 x y) - lo g_{10} (5 x y) + lo g_{10} (4 x)

Add similar elements:

lo g_{10} (5 x y) - lo g_{10} (5 x y) = 0

= lo g_{10} (4 x)

lo g_{10} (\frac{5 y}{x ^{2}})

2 lo g_{10} (5) - 2 lo g_{10} (2)

ln (2 e^{3})

ln (e^{2} x)

ln (\frac{x ^{3} y ^{2}}{z ^{5}})

What is log_{10}(5xy)+log_{10}(4x)-log_{10}(5xy) ?
The solution to log_{10}(5xy)+log_{10}(4x)-log_{10}(5xy) is log_{10}(4x)