What is join 1/3 ln|tan(x)+sec(x)| ?

The solution to join 1/3 ln|tan(x)+sec(x)| is ln(|tan(x)+sec(x)|^{1/3})

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join 1/3 ln|tan(x)+sec(x)|

join

\frac{1}{3} ln ∣ tan (x) + sec (x) ∣

ln (∣ tan (x) + sec (x) ∣^{\frac{1}{3}})

Solution steps

\frac{1}{3} ln ∣ tan (x) + sec (x) ∣

Apply log rule:

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

\frac{1}{3} ln ∣ tan (x) + sec (x) ∣ = ln (∣ tan (x) + sec (x) ∣^{\frac{1}{3}})

= ln (∣ tan (x) + sec (x) ∣^{\frac{1}{3}})

ln (sinh (x) \cdot cosh (x))

5 ln (\frac{5.5}{5})

3 + lo g_{10} (\frac{x}{0.7 - x})

5 ln (a) + 6 ln (b)

ln (\frac{141}{146})

What is join 1/3 ln|tan(x)+sec(x)| ?
The solution to join 1/3 ln|tan(x)+sec(x)| is ln(|tan(x)+sec(x)|^{1/3})