Help with this question: ln ⁡ 3 x − ln ⁡ ( x − 3 ) = 2

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Help with this question:  ln  ⁡  3  x  −  ln  ⁡  (  x  −  3  )  =  2

Russell Knox · Accepted Answer

Solution:  ln  ⁡  3  x  −  ln  ⁡  (  x  −  3  )  =  2    ln  ⁡  (            3      x              x      −      3        )  =  2              3      x              x      −      3        =      e    2      3  x  =  (  x  −  3  )      e    2      3  x  =  x  ⋅      e    2    =  3      e    2      x  (  3  −      e    2    )  =  −  3      e    2      x  =            −      3              e        2                    3      −              e        2                x  =            3              e        2                            e        2            −      3      if we put   e  =  2.718 then  x  =            3      ⋅      (      2.718              )        2                    (      2.718              )        2            −      3          =      22.167    4.389      x  =  5.050

Help with this question: ln3x-ln(x-3)=2

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