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

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

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

simplify

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

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

Solution steps

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

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

ln^{2} (x) + 2 ln (x) + 2

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

lo g_{10} (\frac{x}{10000 y ^{2}})

3 ln (3) - 4 ln (2)

lo g_{4} ((x y)^{3})

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