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

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

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

simplify

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

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

Solution steps

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

Apply log rule:

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

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

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

- lo g_{10} (2.1 \cdot 1 0^{- 4})

lo g_{2} (9) + lo g_{2} (11)

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

ln (x^{5} 4 - x)

\frac{1}{2} lo g_{10} (x + 3) + \frac{1}{2} lo g_{10} (x + 2)

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