What is (ln(6sin(x))+ln(x)+xcot(x))(6sin(x))^x ?

The solution to (ln(6sin(x))+ln(x)+xcot(x))(6sin(x))^x is (ln(6sin(x)x)+xcot(x))(6sin(x))^x

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simplify (ln(6sin(x))+ln(x)+xcot(x))(6sin(x))^x

simplify

(ln (6 sin (x)) + ln (x) + x cot (x)) (6 sin (x))^{x}

(ln (6 sin (x) x) + x cot (x)) (6 sin (x))^{x}

Solution steps

(ln (6 sin (x)) + ln (x) + x cot (x)) (6 sin (x))^{x}

Apply log rule:

lo g_{c} (a) + lo g_{c} (b) = lo g_{c} (ab)

ln (6 sin (x)) + ln (x) = ln (6 x sin (x))

= (ln (6 sin (x) x) + x cot (x)) (6 sin (x))^{x}

\frac{1}{2} ln (2 c x + b)

ln (12) - ln (9)

- 3 ln (a) + 2 ln (b)

lo g_{3} (x - 2) + lo g_{3} (x - 4)

- ln (\frac{35}{2})

What is (ln(6sin(x))+ln(x)+xcot(x))(6sin(x))^x ?
The solution to (ln(6sin(x))+ln(x)+xcot(x))(6sin(x))^x is (ln(6sin(x)x)+xcot(x))(6sin(x))^x