What is expand log_{10}((5y+1)/(y+4)) ?

The solution to expand log_{10}((5y+1)/(y+4)) is log_{10}(5y+1)-log_{10}(y+4)

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expand log_{10}((5y+1)/(y+4))

expand

lo g_{10} (\frac{5 y + 1}{y + 4})

lo g_{10} (5 y + 1) - lo g_{10} (y + 4)

Solution steps

lo g_{10} (\frac{5 y + 1}{y + 4})

Apply log rule:

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

lo g_{10} (\frac{5 y + 1}{y + 4}) = lo g_{10} (5 y + 1) - lo g_{10} (y + 4)

= lo g_{10} (5 y + 1) - lo g_{10} (y + 4)

lo g_{10} (\frac{mn}{p})

lo g_{10} (9 x^{5}) + 5 lo g_{10} (\frac{1}{x})

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

7 ln (x) - \frac{1}{6} ln (y)

What is expand log_{10}((5y+1)/(y+4)) ?
The solution to expand log_{10}((5y+1)/(y+4)) is log_{10}(5y+1)-log_{10}(y+4)