What is expand log_{10}(((x-1)/(x+1))^2) ?

The solution to expand log_{10}(((x-1)/(x+1))^2) is 2(log_{10}(x-1)-log_{10}(x+1))

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expand log_{10}(((x-1)/(x+1))^2)

expand

lo g_{10} ((\frac{x - 1}{x + 1})^{2})

2 (lo g_{10} (x - 1) - lo g_{10} (x + 1))

Solution steps

lo g_{10} ((\frac{x - 1}{x + 1})^{2})

Apply log rule:

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x)

lo g_{10} ((\frac{x - 1}{x + 1})^{2}) = 2 lo g_{10} (\frac{x - 1}{x + 1})

= 2 lo g_{10} (\frac{x - 1}{x + 1})

Apply log rule:

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

lo g_{10} (\frac{x - 1}{x + 1}) = lo g_{10} (x - 1) - lo g_{10} (x + 1)

= 2 (lo g_{10} (x - 1) - lo g_{10} (x + 1))

- lo g_{10} (5012 \cdot 1 0^{- 9})

\frac{8.314 \cdot 298.15}{2 \cdot 96485} ln (1 \cdot 1 0^{- 7})

ln (\frac{19}{12})

ln (3 x^{- 4} y)

ln (5 x)

What is expand log_{10}(((x-1)/(x+1))^2) ?
The solution to expand log_{10}(((x-1)/(x+1))^2) is 2(log_{10}(x-1)-log_{10}(x+1))