What is the domain of f(x)=ln(e^x-8) ?

The domain of f(x)=ln(e^x-8) is x>3ln(2)

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domain of f(x)=ln(e^x-8)

domain

f (x) = ln (e^{x} - 8)

x > 3 ln (2)

Interval Notation

(3 ln (2), \infty)

Solution steps

Find positive values for logs:

x > 3 ln (2)

The function domain

x > 3 ln (2)

y = x^{5} - 15 x^{3}

3 x^{2} + 4 x + 1

f (x) = 2 cot (4 x)

14 + n

2 - 4 e^{x - 1}