What is log_{3}(x*sin(x)) ?

The solution to log_{3}(x*sin(x)) is log_{3}(x)+log_{3}(sin(x))

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simplify log_{3}(x*sin(x))

simplify

lo g_{3} (x \cdot sin (x))

lo g_{3} (x) + lo g_{3} (sin (x))

Solution steps

lo g_{3} (x sin (x))

Apply log rule:

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

lo g_{3} (x sin (x)) = lo g_{3} (x) + lo g_{3} (sin (x))

= lo g_{3} (x) + lo g_{3} (sin (x))

ln (4 t)

- 20 lo g_{10} (\frac{2}{5}) + 1.76 + 8 \cdot 6.02

ln (\frac{2.4}{2.08})

lo g_{2} (\frac{7}{11} e^{\frac{15}{4}}) - 10

ln (x) - 4 ln (4)

What is log_{3}(x*sin(x)) ?
The solution to log_{3}(x*sin(x)) is log_{3}(x)+log_{3}(sin(x))