What is the domain of f(x)=log_{10}(x^4)-log_{10}(x^3) ?

The domain of f(x)=log_{10}(x^4)-log_{10}(x^3) is x>0

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domain of f(x)=log_{10}(x^4)-log_{10}(x^3)

domain

f (x) = lo g_{10} (x^{4}) - lo g_{10} (x^{3})

x > 0

Interval Notation

(0, \infty)

Solution steps

Find positive values for logs:

x > 0

The function domain

x > 0

- lo g_{b} (\frac{1}{2})

lo g_{3} (\frac{1}{10}) + lo g_{3} (50)

ln (\frac{( 0.132 \cdot 1 0 ^{- 3} ) ( 47 \cdot 1 0 ^{3} )}{10})

f (x) = lo g_{8} (7 x^{4})

What is the domain of f(x)=log_{10}(x^4)-log_{10}(x^3) ?
The domain of f(x)=log_{10}(x^4)-log_{10}(x^3) is x>0