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

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

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

simplify

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

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

Solution steps

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

Apply log rule:

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

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

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

lo g_{12} (\frac{1}{2}) - lo g_{12} (8) + lo g_{12} (w)

lo g_{2} (3) + lo g_{2} (7)

lo g_{2} (10) + lo g_{2} (5)

lo g_{3} (2 x y)

lo g_{10} (\frac{1000 a ^{2}}{c})

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