What is log_{7}(x-2)+log_{7}(x+2) ?

The solution to log_{7}(x-2)+log_{7}(x+2) is log_{7}((x-2)(x+2))

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simplify log_{7}(x-2)+log_{7}(x+2)

simplify

lo g_{7} (x - 2) + lo g_{7} (x + 2)

lo g_{7} ((x - 2) (x + 2))

Solution steps

lo g_{7} (x - 2) + lo g_{7} (x + 2)

Apply log rule:

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

lo g_{7} (x - 2) + lo g_{7} (x + 2) = lo g_{7} ((x - 2) (x + 2))

= lo g_{7} ((x - 2) (x + 2))

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4 lo g_{10} (x) - 3 lo g_{10} (x + 1)

What is log_{7}(x-2)+log_{7}(x+2) ?
The solution to log_{7}(x-2)+log_{7}(x+2) is log_{7}((x-2)(x+2))