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_{a} (\frac{x ^{\frac{1}{2}} y ^{5}}{x ^{3}})

lo g_{10} (\frac{p ^{6}}{q ^{1}})

lo g_{10} (12 x^{2})

20 lo g_{10} (\frac{4 π}{\frac{1}{8}}) - 20 lo g_{10} (0.5)

- (\frac{3}{8} lo g_{2} (\frac{3}{8}) + \frac{5}{8} lo g_{2} (\frac{5}{8}))

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))