What is log_{3}(x)+log_{3}(x+6) ?

The solution to log_{3}(x)+log_{3}(x+6) is log_{3}(x(x+6))

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simplify log_{3}(x)+log_{3}(x+6)

simplify

lo g_{3} (x) + lo g_{3} (x + 6)

lo g_{3} (x (x + 6))

Solution steps

lo g_{3} (x) + lo g_{3} (x + 6)

Apply log rule:

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

lo g_{3} (x) + lo g_{3} (x + 6) = lo g_{3} (x (x + 6))

= lo g_{3} (x (x + 6))

ln (y \frac{x}{z})

lo g_{10} (\frac{5 x}{7 - x})

lo g_{4} (16 a)

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

lo g_{10} (y) + 12 lo g_{10} (z)

What is log_{3}(x)+log_{3}(x+6) ?
The solution to log_{3}(x)+log_{3}(x+6) is log_{3}(x(x+6))