What is ln(2)-ln((sqrt(3))/3) ?

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

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simplify ln(2)-ln((sqrt(3))/3)

simplify

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

ln (23)

Solution steps

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

Apply log rule:

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

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

= ln (\frac{2}{\frac{3}{3}})

\frac{2}{\frac{3}{3}} = 23

= ln (23)

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