What is the domain of f(x)= 1/2 ln(5x^2)-1/2 ln(2x^2) ?

The domain of f(x)= 1/2 ln(5x^2)-1/2 ln(2x^2) is x 0

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domain of f(x)= 1/2 ln(5x^2)-1/2 ln(2x^2)

domain

f (x) = \frac{1}{2} ln (5 x^{2}) - \frac{1}{2} ln (2 x^{2})

x < 0 or x > 0

Interval Notation

(- \infty, 0) \cup (0, \infty)

Solution steps

Find positive values for logs:

x < 0 or x > 0

The function domain

x < 0 or x > 0

5 ln (2) + 4 ln (4) - 4 ln (5)

- lo g_{10} (2.635 \cdot 1 0^{- 6})

- lo g_{10} (2.1 \cdot 1 0^{- 5})

- \frac{ln ( 48 )}{3 \cdot ln ( 60 )}

- lo g_{10} (7.6 \cdot 1 0^{- 8})

What is the domain of f(x)= 1/2 ln(5x^2)-1/2 ln(2x^2) ?
The domain of f(x)= 1/2 ln(5x^2)-1/2 ln(2x^2) is x<0\lor x>0