how do i solve for x in: x^log x=x^2/100?

Posted by admin
bluewasabii asked:


the left side of the eq, i mean “log base 10 of x”

arghh i’ve been stuck on this problem forever ._. please help thanks. :)

Edward

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  • One Response to “how do i solve for x in: x^log x=x^2/100?”

    1. AndyJ Says:

      Take log of both sides:

      log x log x = log (x/10)²
      (log x)² = 2 log (x/10)
      (log x)² = 2 (log x - log 10)
      (log x)² - 2 log x + 2 = 0

      By the quadratic formula, the roots are imaginary. There are no real solutions.