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

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

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

simplify

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

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

Solution steps

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

Apply log rule:

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

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

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

lo g_{4} (13 b^{8} c)

lo g_{9} (\frac{9}{x})

ln (x) - 8 ln (x + 5)

lo g_{5} (\frac{125}{x})

5 ln (x) - \frac{1}{2} ln (y)

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