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

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

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

simplify

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

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

Solution steps

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

Apply log rule:

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

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

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

lo g_{10} (\frac{x}{1000})

lo g_{10} (\frac{x ^{3}}{y ^{4}})

2 lo g_{10} (b x) + 3 lo g_{10} (b) y

lo g_{3} (x) - lo g_{3} (x^{6})

lo g_{4} (6 x) - lo g_{4} (10)

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