What is join 1/3 ln|2+3sin(β)| ?

The solution to join 1/3 ln|2+3sin(β)| is ln(|2+3sin(β)|^{1/3})

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join 1/3 ln|2+3sin(β)|

join

\frac{1}{3} ln ∣ 2 + 3 sin (β) ∣

ln (∣ 2 + 3 sin (β) ∣^{\frac{1}{3}})

Solution steps

\frac{1}{3} ln ∣ 2 + 3 sin (β) ∣

Apply log rule:

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

\frac{1}{3} ln ∣ 2 + 3 sin (β) ∣ = ln (∣ 2 + 3 sin (β) ∣^{\frac{1}{3}})

= ln (∣ 2 + 3 sin (β) ∣^{\frac{1}{3}})

lo g_{10} (y^{6} x)

- 0.9 lo g_{2} (0.9) - 0.1 \cdot lo g_{2} (0.05)

ln (\frac{6561}{64}) - \frac{9}{4} + 3 ln (3) - 12 ln (2) + 3

- ln (2 x - 2) + ln (2 x - 4)

4 ln (2) - 5 ln (3)

What is join 1/3 ln|2+3sin(β)| ?
The solution to join 1/3 ln|2+3sin(β)| is ln(|2+3sin(β)|^{1/3})