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

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

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domain of f(x)=ln(e^x-2)

domain

f (x) = ln (e^{x} - 2)

x > ln (2)

Interval Notation

(ln (2), \infty)

Solution steps

Find positive values for logs:

x > ln (2)

The function domain

x > ln (2)

in v erse f (x) = 2 x + 10

d o main f (x) = \frac{3 x + 5}{x + 8}

in t erce pt s - 10.4

in v erse f (x) = 3 x - 2

cr i t i c a l \frac{x}{1 - x}