What is expand log_{10}((x-5)/(x+4)) ?

The solution to expand log_{10}((x-5)/(x+4)) is log_{10}(x-5)-log_{10}(x+4)

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expand log_{10}((x-5)/(x+4))

expand

lo g_{10} (\frac{x - 5}{x + 4})

lo g_{10} (x - 5) - lo g_{10} (x + 4)

Solution steps

lo g_{10} (\frac{x - 5}{x + 4})

Apply log rule:

lo g_{c} (\frac{a}{b}) = lo g_{c} (a) - lo g_{c} (b)

lo g_{10} (\frac{x - 5}{x + 4}) = lo g_{10} (x - 5) - lo g_{10} (x + 4)

= lo g_{10} (x - 5) - lo g_{10} (x + 4)

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

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

- lo g_{10} (2.75 \cdot 1 0^{- 4})

- lo g_{10} (1.5 e^{- 54})

ln (5 x^{2}) - ln (x^{2})

What is expand log_{10}((x-5)/(x+4)) ?
The solution to expand log_{10}((x-5)/(x+4)) is log_{10}(x-5)-log_{10}(x+4)