What is the domain of f(x)= 1/3 ln(x+8)+1/2 ln(x-1) ?

The domain of f(x)= 1/3 ln(x+8)+1/2 ln(x-1) is x>1

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domain of f(x)= 1/3 ln(x+8)+1/2 ln(x-1)

domain

f (x) = \frac{1}{3} ln (x + 8) + \frac{1}{2} ln (x - 1)

x > 1

Interval Notation

(1, \infty)

Solution steps

Find positive values for logs:

x > 1

The function domain

x > 1

lo g_{b} (z^{2} x)

ln (\frac{2 ( 1 ) - 3}{3 ( 1 ) - 1})

- 16 ln (2) - e^{2} + 16 ln (- 2) + \frac{160}{3} + \frac{1}{e ^{2}}

ln (\frac{- 1}{5})

2 lo g_{5} (3) + lo g_{5} (10)

What is the domain of f(x)= 1/3 ln(x+8)+1/2 ln(x-1) ?
The domain of f(x)= 1/3 ln(x+8)+1/2 ln(x-1) is x>1