What is expand (9x-11)log_{3}(11x-9) ?

The solution to expand (9x-11)log_{3}(11x-9) is 9xlog_{3}(11x-9)-11log_{3}(11x-9)

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expand (9x-11)log_{3}(11x-9)

expand

(9 x - 11) lo g_{3} (11 x - 9)

9 x lo g_{3} (11 x - 9) - 11 lo g_{3} (11 x - 9)

Solution steps

(9 x - 11) lo g_{3} (11 x - 9)

= lo g_{3} (11 x - 9) (9 x - 11)

Apply the distributive law:

a (b - c) = ab - a c

lo g_{3} (11 x - 9) (9 x - 11) = lo g_{3} (11 x - 9) \cdot 9 x - lo g_{3} (11 x - 9) \cdot 11

= lo g_{3} (11 x - 9) \cdot 9 x - lo g_{3} (11 x - 9) \cdot 11

= 9 x lo g_{3} (11 x - 9) - 11 lo g_{3} (11 x - 9)

\frac{( x + 4 ) ( x - 3 )}{( x - 2 ) ( x ^{2} + 2 )}

\frac{( x - 1 ) ( x + 3 + 2 )}{x - 1}

(x + 3) (x + 1)^{\frac{1}{2}}

2 (3 - 1)

\frac{s}{( s + 1 ) ( s ^{2} + 1 )}

What is expand (9x-11)log_{3}(11x-9) ?
The solution to expand (9x-11)log_{3}(11x-9) is 9xlog_{3}(11x-9)-11log_{3}(11x-9)