What is log_{3}(11x(3x+4)) ?

The solution to log_{3}(11x(3x+4)) is log_{3}(11)+log_{3}(x)+log_{3}(3x+4)

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simplify log_{3}(11x(3x+4))

simplify

lo g_{3} (11 x (3 x + 4))

lo g_{3} (11) + lo g_{3} (x) + lo g_{3} (3 x + 4)

Solution steps

lo g_{3} (11 x (3 x + 4))

Apply log rule:

lo g_{a} (x y) = lo g_{a} (x) + lo g_{a} (y)

lo g_{3} (11 x (3 x + 4)) = lo g_{3} (11) + lo g_{3} (x) + lo g_{3} (3 x + 4)

= lo g_{3} (11) + lo g_{3} (x) + lo g_{3} (3 x + 4)

ln (x^{11} 2 - x)

lo g_{5} (x) - lo g_{5} (x^{6})

lo g_{10} (\frac{x ( x + 4 )}{( x + 3 ) ^{14}})

\frac{21}{2} ln (2)

lo g_{11} (11 x)

What is log_{3}(11x(3x+4)) ?
The solution to log_{3}(11x(3x+4)) is log_{3}(11)+log_{3}(x)+log_{3}(3x+4)