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))

ln (\frac{3}{2}) - ln (\frac{1}{2})

ln (x) - 2 ln (x^{2} + 1) + \frac{1}{2} ln (3 - x^{4})

lo g_{b} (\frac{p ^{4} q ^{7}}{m ^{5} b ^{7}})

lo g_{10} (y z^{6})

lo g_{10} (3 x^{2} 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))