What is 1/5 ln(5|ln(x)|)+C ?

The solution to 1/5 ln(5|ln(x)|)+C is 1/5 ln(5)+1/5 ln|ln(x)|+C

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simplify 1/5 ln(5|ln(x)|)+C

simplify

\frac{1}{5} ln (5 ∣ ln (x) ∣) + C

\frac{1}{5} ln (5) + \frac{1}{5} ln ∣ ln (x) ∣ + C

Solution steps

\frac{1}{5} ln (5 ∣ ln (x) ∣) + C

Apply log rule:

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

\frac{1}{5} ln (5 ∣ ln (x) ∣) = \frac{1}{5} ln (5) + \frac{1}{5} ln ∣ ln (x) ∣

= \frac{1}{5} ln (5) + \frac{1}{5} ln ∣ ln (x) ∣ + C

2 ln (3) - ln (5) - \frac{16}{45}

\frac{1}{6} \cdot lo g_{2} (\frac{1}{6}) + \frac{5}{6} \cdot lo g_{2} (\frac{5}{6})

ln \frac{( \frac{7 + 3 5}{2} )}{6}

ln (\frac{1}{96})

ln (x - 10) - ln (x - 1)

What is 1/5 ln(5|ln(x)|)+C ?
The solution to 1/5 ln(5|ln(x)|)+C is 1/5 ln(5)+1/5 ln|ln(x)|+C