What is log_{5}(x/(x+1)) ?

The solution to log_{5}(x/(x+1)) is log_{5}(x)-log_{5}(x+1)

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simplify log_{5}(x/(x+1))

simplify

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

lo g_{5} (x) - lo g_{5} (x + 1)

Solution steps

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

Apply log rule:

lo g_{a} (\frac{x}{y}) = lo g_{a} (x) - lo g_{a} (y)

lo g_{5} (\frac{x}{x + 1}) = lo g_{5} (x) - lo g_{5} (x + 1)

= lo g_{5} (x) - lo g_{5} (x + 1)

lo g_{10} (\frac{10 z}{4})

lo g_{7} (\frac{c}{49})

lo g_{10} (\frac{a ^{2} b ^{\frac{1}{3}}}{c ^{4}})

10 ln (x^{2} y^{5} z^{3}) - λ (5 x + 2 y + 8 z)

lo g_{10} (y x^{5})

What is log_{5}(x/(x+1)) ?
The solution to log_{5}(x/(x+1)) is log_{5}(x)-log_{5}(x+1)