What is 1/3 ln((x+1)/(sqrt(x^2-x+1))) ?

The solution to 1/3 ln((x+1)/(sqrt(x^2-x+1))) is 1/3 (ln(x+1)-ln(sqrt(x^2-x+1)))

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simplify 1/3 ln((x+1)/(sqrt(x^2-x+1)))

simplify

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

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

Solution steps

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

Apply log rule:

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

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

= \frac{1}{3} (ln (x + 1) - ln (x^{2} - x + 1))

ln (\frac{56}{1076})

1 + (\frac{6000}{- 1.64}) \cdot ln (\frac{273.16}{273.15})

6 ln (z (z + 7)) - 3 ln (z - 7)

lo g_{10} (c a \cdot b)

lo g_{3} (\frac{x ( x - 3 ) ^{2}}{x + 3})

What is 1/3 ln((x+1)/(sqrt(x^2-x+1))) ?
The solution to 1/3 ln((x+1)/(sqrt(x^2-x+1))) is 1/3 (ln(x+1)-ln(sqrt(x^2-x+1)))