What is 2/(sqrt(3))ln((sqrt(3)a)/(2s)) ?

The solution to 2/(sqrt(3))ln((sqrt(3)a)/(2s)) is (2sqrt(3))/3 (ln(sqrt(3)a)-ln(2s))

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simplify 2/(sqrt(3))ln((sqrt(3)a)/(2s))

simplify

\frac{2}{3} ln (\frac{3 a}{2 s})

\frac{2 3}{3} (ln (3 a) - ln (2 s))

Solution steps

\frac{2}{3} ln (\frac{3 a}{2 s})

Apply log rule:

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

ln (\frac{3 a}{2 s}) = ln (3 a) - ln (2 s)

= \frac{2}{3} (- ln (2 s) + ln (3 a))

\frac{2}{3} = \frac{2 3}{3}

= \frac{2 3}{3} (- ln (2 s) + ln (3 a))

ln (2) + ln (- 2)

lo g_{10} ((3 x - 2)^{2})

lo g_{\frac{1}{4}} (\frac{1}{160})

ln x + x^{2} + 25 + C - ln (5)

ln (\frac{( sin ( x ^{2} ) ) ^{'}}{( cos ( 2 x ) ) ^{'}})

What is 2/(sqrt(3))ln((sqrt(3)a)/(2s)) ?
The solution to 2/(sqrt(3))ln((sqrt(3)a)/(2s)) is (2sqrt(3))/3 (ln(sqrt(3)a)-ln(2s))