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

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

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

simplify

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

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

Solution steps

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

Apply log rule:

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

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

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

8 lo g_{10} (x) - 2 lo g_{10} (y)

ln (\frac{8}{8 + 1})

ln (x) + ln (3)

3 ln (2 - x) + 3 ln (2 + x)

- lo g_{10} (6.7 \cdot 1 0^{- 5})

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