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Is it possible to solve this equation mathematically?

  1. Sep 27, 2009 #1

    Suy

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    without using the graphing calculator to find the intersect
    is it possible to solve this?
    i tried this solve this equation a long time, i still can't solve for x...
    log(x)/log(4)=(2^x)-6
     
  2. jcsd
  3. Sep 27, 2009 #2

    HallsofIvy

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    Staff Emeritus
    Science Advisor

    Generally speaking, a function having the unknown x both inside and outside transcendental function- and here ex is the inverse of ln(x) so ex is "doubly" outside ln(x)!- with elementary functions. You might be able solve it using "Lambert's W function" which is defined as the inverse f(x)= xex. That is, W(xex)= x.
     
  4. Sep 27, 2009 #3

    Suy

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    is this university stuff?
    cuz i just started learning log
     
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