What is u(ln(sqrt(3u))-ln(u)) ?

The solution to u(ln(sqrt(3u))-ln(u)) is uln((sqrt(3)sqrt(u))/u)

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simplify u(ln(sqrt(3u))-ln(u))

simplify

u (ln (3 u) - ln (u))

u ln (\frac{3 u}{u})

Solution steps

u (ln (3 u) - ln (u))

Apply log rule:

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

ln (3 u) - ln (u) = ln (\frac{3 u}{u})

= u ln (\frac{3 u}{u})

3 u = 3 u

= u ln (\frac{3 u}{u})

2 ln (\frac{53.9}{120})

ln (\frac{68}{70})

ln (\frac{c - x}{c})

ln (2) + 2 ln (x) + 6 ln (x^{2} + 3)

ln (x + 6) + ln (x + 7) + ln (6)

What is u(ln(sqrt(3u))-ln(u)) ?
The solution to u(ln(sqrt(3u))-ln(u)) is uln((sqrt(3)sqrt(u))/u)