What is x(ln(3x-1)-ln(3x-3)) ?

The solution to x(ln(3x-1)-ln(3x-3)) is xln((3x-1)/(3x-3))

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simplify x(ln(3x-1)-ln(3x-3))

simplify

x (ln (3 x - 1) - ln (3 x - 3))

x ln (\frac{3 x - 1}{3 x - 3})

Solution steps

x (ln (3 x - 1) - ln (3 x - 3))

Apply log rule:

lo g_{c} (a) - lo g_{c} (b) = lo g_{c} (\frac{a}{b})

ln (3 x - 1) - ln (3 x - 3) = ln (\frac{3 x - 1}{3 x - 3})

= x ln (\frac{3 x - 1}{3 x - 3})

\frac{1}{6} [5 ln (x + 5) - ln (x) - ln (x^{2} - 9)]

2 lo g_{10} (a) - 2 lo g_{10} (b)

lo g_{10} (\frac{2 \cdot 1 0 ^{- 3}}{1 0 ^{- 12}})

ln (\frac{( s - 1 )}{s - 5})

\frac{lo g _{e} ( a )}{2} - lo g_{e} (b) - 3 lo g_{e} (c)

What is x(ln(3x-1)-ln(3x-3)) ?
The solution to x(ln(3x-1)-ln(3x-3)) is xln((3x-1)/(3x-3))