What is the domain of f(x)=3ln(x+2)-ln(x-1) ?

The domain of f(x)=3ln(x+2)-ln(x-1) is x>1

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domain of f(x)=3ln(x+2)-ln(x-1)

domain

f (x) = 3 ln (x + 2) - ln (x - 1)

x > 1

Interval Notation

(1, \infty)

Solution steps

Find positive values for logs:

x > 1

The function domain

x > 1

ln (3 \cdot 3)

3 ln (x + 1) - 2 ln (x)

f (x) = ln (x^{2} - 4) - ln (x^{2} + 2)

4 ln (8) - 4 ln (4)

ln (x^{3} e^{- 3 x})

What is the domain of f(x)=3ln(x+2)-ln(x-1) ?
The domain of f(x)=3ln(x+2)-ln(x-1) is x>1