What is log_{9}(x(x-10)) ?

The solution to log_{9}(x(x-10)) is log_{9}(x)+log_{9}(x-10)

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simplify log_{9}(x(x-10))

simplify

lo g_{9} (x (x - 10))

lo g_{9} (x) + lo g_{9} (x - 10)

Solution steps

lo g_{9} (x (x - 10))

Apply log rule:

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

lo g_{9} (x (x - 10)) = lo g_{9} (x) + lo g_{9} (x - 10)

= lo g_{9} (x) + lo g_{9} (x - 10)

lo g_{6} (x z)

lo g_{10} (\frac{1 - x}{1 + x})

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

lo g_{10} (\frac{x z}{y ^{3}})

2 ln (x) - 3 ln (y) + 5 ln (z)

What is log_{9}(x(x-10)) ?
The solution to log_{9}(x(x-10)) is log_{9}(x)+log_{9}(x-10)