What is 2log_{10}(x)-log_{10}(x+2) ?

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

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simplify 2log_{10}(x)-log_{10}(x+2)

simplify

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

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

Solution steps

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

Apply log rule:

a lo g_{c} (b) = lo g_{c} (b^{a})

2 lo g_{10} (x) = lo g_{10} (x^{2})

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

Apply log rule:

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

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

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

- ln 900 - x^{2} + 2 ln (30)

ln (\frac{121}{13})

8.64 + lo g_{10} (\frac{0.89}{0.25})

ln (\frac{1 - e ^{- u}}{u})

- ln (x) - ln (1 - x)

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