What is log_{10}(2xy) ?

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

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simplify log_{10}(2xy)

simplify

lo g_{10} (2 x y)

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

Solution steps

lo g_{10} (2 x y)

Apply log rule:

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

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

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

ln (x^{5}) - ln (x) + ln (\frac{1}{x})

lo g_{9} (x + 3) + lo g_{9} (x - 5)

lo g_{5} (5 x)

lo g_{10} (\frac{x}{100})

ln (\frac{3 a ^{3} b ^{2}}{a})

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