What is ln((ln(x))/(sin(x))) ?

The solution to ln((ln(x))/(sin(x))) is ln(ln(x))-ln(sin(x))

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simplify ln((ln(x))/(sin(x)))

simplify

ln (\frac{ln ( x )}{sin ( x )})

ln (ln (x)) - ln (sin (x))

Solution steps

ln (\frac{ln ( x )}{sin ( x )})

Apply log rule:

lo g_{c} (\frac{a}{b}) = lo g_{c} (a) - lo g_{c} (b)

ln (\frac{ln ( x )}{sin ( x )}) = ln (ln (x)) - ln (sin (x))

= ln (ln (x)) - ln (sin (x))

ln (r) - \frac{1}{2} ln (r^{2} + 1)

210 ln (2) + 210 ln (3 x - 2 y)

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

- [\frac{2}{3} lo g_{2} (\frac{2}{3}) + \frac{1}{3} lo g_{2} (\frac{1}{3})]

2 (lo g_{6} (y) - 2 lo g_{6} (w)) + 2 lo g_{6} (x)

What is ln((ln(x))/(sin(x))) ?
The solution to ln((ln(x))/(sin(x))) is ln(ln(x))-ln(sin(x))