What is log_{9}(x+3)+log_{9}(x-5) ?

The solution to log_{9}(x+3)+log_{9}(x-5) is log_{9}((x+3)(x-5))

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simplify log_{9}(x+3)+log_{9}(x-5)

simplify

lo g_{9} (x + 3) + lo g_{9} (x - 5)

lo g_{9} ((x + 3) (x - 5))

Solution steps

lo g_{9} (x + 3) + lo g_{9} (x - 5)

Apply log rule:

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

lo g_{9} (x + 3) + lo g_{9} (x - 5) = lo g_{9} ((x + 3) (x - 5))

= lo g_{9} ((x + 3) (x - 5))

lo g_{5} (5 x)

lo g_{10} (\frac{x}{100})

ln (\frac{3 a ^{3} b ^{2}}{a})

lo g_{6} (10) + lo g_{6} (15)

ln (\frac{6}{e ^{2}})

What is log_{9}(x+3)+log_{9}(x-5) ?
The solution to log_{9}(x+3)+log_{9}(x-5) is log_{9}((x+3)(x-5))