What is 2xln(3x)-4x-4ln(3x)+8 ?

The solution to 2xln(3x)-4x-4ln(3x)+8 is 2xln(3x)-4x-4ln(3)-4ln(x)+8

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simplify 2xln(3x)-4x-4ln(3x)+8

simplify

2 x ln (3 x) - 4 x - 4 ln (3 x) + 8

2 x ln (3 x) - 4 x - 4 ln (3) - 4 ln (x) + 8

Solution steps

2 x ln (3 x) - 4 x - 4 ln (3 x) + 8

Apply log rule:

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

4 ln (3 x) = 4 ln (3) + 4 ln (x)

= 2 x ln (3 x) - 4 x - (4 ln (x) + 4 ln (3)) + 8

- (4 ln (3) + 4 ln (x)) : - 4 ln (3) - 4 ln (x)

= 2 x ln (3 x) - 4 x - 4 ln (3) - 4 ln (x) + 8

ln (\frac{( a + b ) ^{2}}{c})

ln (ab) + ln (\frac{a}{b})

y d x + x (ln (x) - ln (y) - 1) d y

ln (\frac{x y ^{2}}{z ^{4} e ^{x}})

ln (2) + ln (6) - ln (4)

What is 2xln(3x)-4x-4ln(3x)+8 ?
The solution to 2xln(3x)-4x-4ln(3x)+8 is 2xln(3x)-4x-4ln(3)-4ln(x)+8