What is ln((sqrt(4+x^2))/x) ?

The solution to ln((sqrt(4+x^2))/x) is ln(sqrt(4+x^2))-ln(x)

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simplify ln((sqrt(4+x^2))/x)

simplify

ln (\frac{4 + x ^{2}}{x})

ln (4 + x^{2}) - ln (x)

Solution steps

ln (\frac{4 + x ^{2}}{x})

Apply log rule:

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

ln (\frac{4 + x ^{2}}{x}) = ln (4 + x^{2}) - ln (x)

= ln (x^{2} + 4) - ln (x)

lo g_{10} (2 w^{5} - 7 w) + lo g_{10} (w^{- 1})

lo g_{10} (\frac{100}{x ^{2} + y ^{2}})

ln (\frac{17}{3})

lo g_{10} (\frac{x ^{4}}{y})

- lo g_{10} (9.9 \cdot 1 0^{- 6})

What is ln((sqrt(4+x^2))/x) ?
The solution to ln((sqrt(4+x^2))/x) is ln(sqrt(4+x^2))-ln(x)