What is log_{2}(3xy) ?

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

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simplify log_{2}(3xy)

simplify

lo g_{2} (3 x y)

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

Solution steps

lo g_{2} (3 x y)

Apply log rule:

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

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

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

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

ln (x) - ln (5 x)

ln (\frac{θ ^{2} ( 3 - 2 θ )}{36})

ln (6 y)

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