What is expand ln(6/(sqrt(x^2+1))) ?

The solution to expand ln(6/(sqrt(x^2+1))) is ln(6)-ln(sqrt(x^2+1))

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expand ln(6/(sqrt(x^2+1)))

expand

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

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

Solution steps

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

Apply log rule:

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

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

= ln (6) - ln (x^{2} + 1)

\frac{1}{2} ln (x) - ln (9)

lo g_{x} (\frac{1}{81})

3 (ln (ln (4)) - ln (ln (2)))

lo g_{2} (R) + lo g_{2} (S) - 2 lo g_{2} (T)

ln (\frac{1}{2}) \cdot \frac{1}{2}

What is expand ln(6/(sqrt(x^2+1))) ?
The solution to expand ln(6/(sqrt(x^2+1))) is ln(6)-ln(sqrt(x^2+1))