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

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

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

simplify

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

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

Solution steps

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

Apply log rule:

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

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

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

ln (1.2) - ln (0.6)

f (x) = ln^{2} (x) + 2 ln (x) + 1

- 3 ln ∣ x + 2 ∣ - 4 ln ∣ x + 3 ∣

20 lo g_{42} (2)

(\frac{3}{11}) lo g_{2} (\frac{3}{11}) + (\frac{8}{11}) lo g_{2} (\frac{8}{11})

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