What is ln(arcTg(sqrt(1+x^2))) ?

The solution to ln(arcTg(sqrt(1+x^2))) is ln(a)+ln(r)+ln(c)+ln(T)+ln(g)+ln(sqrt(1+x^2))

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simplify ln(arcTg(sqrt(1+x^2)))

simplify

ln (a rc T g (1 + x^{2}))

ln (a) + ln (r) + ln (c) + ln (T) + ln (g) + ln (1 + x^{2})

Solution steps

ln (a rc T g (1 + x^{2}))

Apply log rule:

lo g_{c} (ab) = lo g_{c} (a) + lo g_{c} (b)

ln (a rc T g (1 + x^{2})) = ln (a) + ln (r) + ln (c) + ln (T) + ln (g) + ln (1 + x^{2})

= ln (a) + ln (r) + ln (c) + ln (T) + ln (g) + ln (x^{2} + 1)

3 lo g_{10} (x) + lo g_{10} (3)

8 ln (x) - 4 ln (5)

ln (2 e^{y - x})

\frac{1}{2} [5 ln (x + 1) + ln (x) - ln (x^{5} - 3)]

What is ln(arcTg(sqrt(1+x^2))) ?
The solution to ln(arcTg(sqrt(1+x^2))) is ln(a)+ln(r)+ln(c)+ln(T)+ln(g)+ln(sqrt(1+x^2))