What is log_{2}(x)+log_{2}(x+3)+log_{2}(y) ?

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

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simplify log_{2}(x)+log_{2}(x+3)+log_{2}(y)

simplify

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

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

Solution steps

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

Apply log rule:

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

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

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

Apply log rule:

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

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

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

lo g_{6} (x y)

ln (\frac{4}{9})

ln (x + 2) - ln (x + 1)

lo g_{a} (\frac{x ^{3}}{y z ^{4}})

ln (\frac{1}{2 π})

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