What is the domain of f(x)=e^{2(x-3)^3ln|x-3|} ?

The domain of f(x)=e^{2(x-3)^3ln|x-3|} is x 3

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domain of f(x)=e^{2(x-3)^3ln|x-3|}

domain

f (x) = e^{2 (x - 3)^{3} l n ∣ x - 3 ∣}

x < 3 or x > 3

Interval Notation

(- \infty, 3) \cup (3, \infty)

Solution steps

Find positive values for logs:

x < 3 or x > 3

The function domain

x < 3 or x > 3

f (x) = \frac{x ^{2} - 9}{x - 3}

f (x) = - 7

\frac{x ^{2}}{x ^{4} - 256}

f (θ) = cos^{2} (θ)

\frac{x ^{2} + 7 x}{x ^{3} - 5 x ^{2} - 14 x}

What is the domain of f(x)=e^{2(x-3)^3ln|x-3|} ?
The domain of f(x)=e^{2(x-3)^3ln|x-3|} is x<3\lor x>3