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

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

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

simplify

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

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

Solution steps

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

Apply log rule:

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

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

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

lo g_{3} (a) + lo g_{3} (a + 9)

ln (x^{6} 6 - x)

lo g_{2} (\frac{1}{4} m n^{3})

lo g_{4} (x^{3} y^{5})

ln (3) + ln (x) + ln (y)

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