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

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

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simplify log_{10}(x)-2log_{10}(x+1)

simplify

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

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

Solution steps

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

Apply log rule:

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

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

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

Apply log rule:

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

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

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

ln (\frac{( - 288 \cdot 1 0 ^{9} )}{x ^{2}})

lo g_{a} (x) + lo g_{a} (y) - lo g_{a} (t)

ln (11 x) - ln (11)

8 lo g_{8} (6 x)

lo g_{10} (x) + 5 lo g_{10} (y) - 3 lo g_{10} (z)

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