What is join-3/2 ln^2(cos(2x)) ?

The solution to join-3/2 ln^2(cos(2x)) is -ln^2(cos^{3/2}(2x))

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join-3/2 ln^2(cos(2x))

join

- \frac{3}{2} ln^{2} (cos (2 x))

- ln^{2} (cos^{\frac{3}{2}} (2 x))

Solution steps

- \frac{3}{2} ln^{2} (cos (2 x))

Apply log rule:

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

- \frac{3}{2} ln^{2} (cos (2 x)) = - ln^{2} (cos^{\frac{3}{2}} (2 x))

= - ln^{2} (cos^{\frac{3}{2}} (2 x))

ln (\frac{x + 3}{x})

- lo g_{10} (1.11 \cdot 1 0^{- 4})

\frac{( ln ( x ) + 2 ln ( 2 ) )}{2}

ln ((x - 2)^{\circ})

ln (3^{4} \cdot 2^{6})

What is join-3/2 ln^2(cos(2x)) ?
The solution to join-3/2 ln^2(cos(2x)) is -ln^2(cos^{3/2}(2x))