What is the domain of log_{3}((x^9)/(x-5)),x>5 ?

The domain of log_{3}((x^9)/(x-5)),x>5 is x>5

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domain of log_{3}((x^9)/(x-5)),x>5

domain

lo g_{3} (\frac{x ^{9}}{x - 5}), x > 5

x > 5

Interval Notation

(5, \infty)

Solution steps

Set the domain to the given interval

x > 5

Find positive values for logs:

x < 0 or x > 5

Find undefined (singularity) points:

No real undefined points

Join with the domain:

(x < 0 or x > 5) and x > 5

x > 5

y = x (x + 5) (x + 4)

f (x) = x^{6} + 10 x^{3} + 25

f (m) = 8 m^{3} + 36 m^{2} + 54 m + 27

f (x) = 3 x^{3} + 2 x

y = - 3 (x + 3)^{2} + 3

What is the domain of log_{3}((x^9)/(x-5)),x>5 ?
The domain of log_{3}((x^9)/(x-5)),x>5 is x>5