What is (1/2)(ln(11+22(6))-ln(11-22(6))) ?

The solution to (1/2)(ln(11+22(6))-ln(11-22(6))) is 1/2 ln(-13/11)

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simplify (1/2)(ln(11+22(6))-ln(11-22(6)))

simplify

(\frac{1}{2}) (ln (11 + 22 (6)) - ln (11 - 22 (6)))

\frac{1}{2} ln (- \frac{13}{11})

Solution steps

(\frac{1}{2}) (ln (11 + 22 (6)) - ln (11 - 22 (6)))

Apply log rule:

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

ln (11 + 22 (6)) - ln (11 - 22 (6)) = ln (\frac{11 + 22 \cdot 6}{11 - 22 \cdot 6})

= \frac{1}{2} ln (\frac{11 + 22 \cdot 6}{11 - 22 \cdot 6})

\frac{11 + 22 ( 6 )}{11 - 22 ( 6 )} = - \frac{13}{11}

= \frac{1}{2} ln (- \frac{13}{11})

\frac{1}{2} lo g_{12} (2)

ln (6 sec (x))

ln ((x y)^{7})

\frac{1}{2} ln (8028)

- ln (6) + 2 ln (5) - 2 ln (2)

What is (1/2)(ln(11+22(6))-ln(11-22(6))) ?
The solution to (1/2)(ln(11+22(6))-ln(11-22(6))) is 1/2 ln(-13/11)