What is ln|(sqrt(3))/3 |-ln| 1/2 | ?

The solution to ln|(sqrt(3))/3 |-ln| 1/2 | is ln((2sqrt(3))/3)

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simplify ln|(sqrt(3))/3 |-ln| 1/2 |

simplify

ln \frac{3}{3} - ln \frac{1}{2}

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

Decimal Notation

0.14384 \dots

Solution steps

ln \frac{3}{3} - ln \frac{1}{2}

Apply log rule:

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

ln \frac{3}{3} - ln \frac{1}{2} = ln \frac{\frac{3}{3}}{\frac{1}{2}}

= ln \frac{\frac{3}{3}}{\frac{1}{2}}

\frac{\frac{3}{3}}{\frac{1}{2}} = \frac{2 3}{3}

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

\frac{1}{ln ( a ) x} (lo g_{10} (x) + lo g_{10} (x - 7) - 1)

lo g_{e} (2 π \frac{B ^{3}}{A e})

ln^{2} (\frac{1}{3}) + (ln (\frac{1}{3}))^{2}

ln (\frac{e ^{15 r} - 1}{r})

\frac{- 2 ln ( 6 )}{2 ln ( 3 ) - ln ( 6 )}

What is ln|(sqrt(3))/3 |-ln| 1/2 | ?
The solution to ln|(sqrt(3))/3 |-ln| 1/2 | is ln((2sqrt(3))/3)