Comments on: how do i solve for x in: x^log x=x^2/100? http://www.about-siding.com/how-do-i-solve-for-x-in-xlog-xx2100/184/ Your Questions, Our Answers Wed, 08 Feb 2012 19:05:51 +0000 http://wordpress.org/?v=2.2.1 By: AndyJ http://www.about-siding.com/how-do-i-solve-for-x-in-xlog-xx2100/184/#comment-268 AndyJ Wed, 09 Apr 2008 05:56:22 +0000 http://www.about-siding.com/how-do-i-solve-for-x-in-xlog-xx2100/184/#comment-268 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. 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.

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