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

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

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

simplify

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

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

Solution steps

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

Apply log rule:

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

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

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

ln (\frac{1}{2} (x^{2} - 6 x + 5))

- ln ∣ 6.1 - 3 ∣ + 2 ln ∣ 6.1 - 2 ∣ + c

lo g_{2} (a) + \frac{1}{2} lo g_{2} (b) - 3 lo g_{2} (c)

- ln (4) + ln (5)

ln (6) + ln (9)

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