What is ln((sin(x))/(x^3-2)) ?

The solution to ln((sin(x))/(x^3-2)) is ln(sin(x))-ln(x^3-2)

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simplify ln((sin(x))/(x^3-2))

simplify

ln (\frac{sin ( x )}{x ^{3} - 2})

ln (sin (x)) - ln (x^{3} - 2)

Solution steps

ln (\frac{sin ( x )}{x ^{3} - 2})

Apply log rule:

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

ln (\frac{sin ( x )}{x ^{3} - 2}) = ln (sin (x)) - ln (x^{3} - 2)

= ln (sin (x)) - ln (x^{3} - 2)

ln (8 e) - ln (6 e) - ln (e^{2})

ln (- 23 i)

\frac{1}{1.21 \cdot 1 0 ^{- 4}} ln (\frac{15}{10})

ln (\frac{294.53}{473})

5 lo g_{2} (x) + 2 lo g_{2} (y)

What is ln((sin(x))/(x^3-2)) ?
The solution to ln((sin(x))/(x^3-2)) is ln(sin(x))-ln(x^3-2)