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

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

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

join

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

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

Solution steps

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

Apply log rule:

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

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

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

ln (\frac{2 ^{- 3}}{1125})

ln (\frac{27}{36})

lo g_{y} (\frac{x}{4})

\frac{ln ( 2 ) - ln ( - 1 )}{9}

ln (- x) + ln (x + 1)

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