What is join-1/2 ln^2(cos(x)) ?

The solution to join-1/2 ln^2(cos(x)) is -ln^2(cos^{1/2}(x))

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join-1/2 ln^2(cos(x))

join

- \frac{1}{2} ln^{2} (cos (x))

- ln^{2} (cos^{\frac{1}{2}} (x))

Solution steps

- \frac{1}{2} ln^{2} (cos (x))

Apply log rule:

a lo g_{c} (b) = lo g_{c} (b^{a})

- \frac{1}{2} ln^{2} (cos (x)) = - ln^{2} (cos^{\frac{1}{2}} (x))

= - ln^{2} (cos^{\frac{1}{2}} (x))

5 ln (c) + 5 ln (x)

x^{2} - ln (4 x)

lo g_{3} (x) - lo g_{3} (0.5)

ln (x - 6) - ln (x - 2) + 10 ln (x)

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

What is join-1/2 ln^2(cos(x)) ?
The solution to join-1/2 ln^2(cos(x)) is -ln^2(cos^{1/2}(x))