How do you solve x log ⁡ x = 100 x?Can you please thoroughly explain the left side of the equation.Please explain very clearly because I have only been learning logarithms for about a week.

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How do you solve       x          log      ⁡      x        =  100  x?Can you please thoroughly explain the left side of the equation.Please explain very clearly because I have only been learning logarithms for about a week.

allstylekvsvi · Accepted Answer

Take   log from both sides:  log  ⁡      (          x              log        ⁡        x              )    =  log  ⁡  (  100  x  )  log  ⁡  (  x  )  log  ⁡  (  x  )  =  log  ⁡  (  100  x  )  =  log  ⁡  (  100  )  +  log  ⁡  (  x  )Or:  (  log  ⁡  x      )    2    −  (  log  ⁡  x  )  =  2Now you have a quadratic equation which you should be able to solve.

Noelle Wright · Accepted Answer

Hint: Take the logarithm of both sides. You will get a quadratic equation in   y  =  log  ⁡  x

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