What is join sin(9x)(1/81 ln|tan(9x)+sec(9x)|) ?

The solution to join sin(9x)(1/81 ln|tan(9x)+sec(9x)|) is sin(9x)ln(|tan(9x)+sec(9x)|^{1/81})

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join sin(9x)(1/81 ln|tan(9x)+sec(9x)|)

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sin (9 x) (\frac{1}{81} ln ∣ tan (9 x) + sec (9 x) ∣)

sin (9 x) ln (∣ tan (9 x) + sec (9 x) ∣^{\frac{1}{81}})

Solution steps

sin (9 x) (\frac{1}{81} ln ∣ tan (9 x) + sec (9 x) ∣)

Apply log rule:

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

\frac{1}{81} ln ∣ tan (9 x) + sec (9 x) ∣ = ln (∣ tan (9 x) + sec (9 x) ∣^{\frac{1}{81}})

= sin (9 x) ln (∣ tan (9 x) + sec (9 x) ∣^{\frac{1}{81}})

lo g_{10} (5) 5

ln (\frac{e}{x y}) - e^{x y}

2 x + \frac{1}{2} ln (2 x + 1) - 3 ln (x + 2)

lo g_{8} ((x y^{2})^{2})

ln (\frac{4000}{500})

What is join sin(9x)(1/81 ln|tan(9x)+sec(9x)|) ?
The solution to join sin(9x)(1/81 ln|tan(9x)+sec(9x)|) is sin(9x)ln(|tan(9x)+sec(9x)|^{1/81})