What is log_{3}(x-4)+log_{3}(x+4) ?

The solution to log_{3}(x-4)+log_{3}(x+4) is log_{3}((x-4)(x+4))

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simplify log_{3}(x-4)+log_{3}(x+4)

simplify

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

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

Solution steps

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

Apply log rule:

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

lo g_{3} (x - 4) + lo g_{3} (x + 4) = lo g_{3} ((x - 4) (x + 4))

= lo g_{3} ((x - 4) (x + 4))

lo g_{10} (z y^{6})

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

ln (x (x + 5))

ln (\frac{2 x}{x + 1})

lo g_{2} (3 x^{4})

What is log_{3}(x-4)+log_{3}(x+4) ?
The solution to log_{3}(x-4)+log_{3}(x+4) is log_{3}((x-4)(x+4))