What is log_{3}(c)+log_{3}(c+2) ?

The solution to log_{3}(c)+log_{3}(c+2) is log_{3}(c(c+2))

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simplify log_{3}(c)+log_{3}(c+2)

simplify

lo g_{3} (c) + lo g_{3} (c + 2)

lo g_{3} (c (c + 2))

Solution steps

lo g_{3} (c) + lo g_{3} (c + 2)

Apply log rule:

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

lo g_{3} (c) + lo g_{3} (c + 2) = lo g_{3} (c (c + 2))

= lo g_{3} (c (c + 2))

\frac{1}{3} lo g_{2} (x) + \frac{1}{2} lo g_{2} (y) + lo g_{2} (z)

ln (2) + ln (9)

3 ln (x + 4) + 9 ln (x - 4) - 5 ln (x)

lo g_{4} (\frac{y}{5 z ^{2}})

- ln (y) - ln (x)

What is log_{3}(c)+log_{3}(c+2) ?
The solution to log_{3}(c)+log_{3}(c+2) is log_{3}(c(c+2))