What is join 2ln|tan((3x)/2)| ?

The solution to join 2ln|tan((3x)/2)| is ln(|tan((3x)/2)|^2)

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join 2ln|tan((3x)/2)|

join

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

ln (tan (\frac{3 x}{2})^{2})

Solution steps

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

Apply log rule:

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

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

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

lo g_{6} (6 x^{5})

\frac{1}{5} ln (\frac{21}{16})

- ln (4 e)

ln (\frac{1}{17})

240 \cdot lo g_{2} (\frac{240}{( \frac{1}{20} )})

What is join 2ln|tan((3x)/2)| ?
The solution to join 2ln|tan((3x)/2)| is ln(|tan((3x)/2)|^2)