document.write( "Question 1034772: log(x)^log(x) = 506
\n" ); document.write( "Please show how one would solve for x? \n" ); document.write( "
Algebra.Com's Answer #649463 by Theo(13342)\"\" \"About 
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i can solve this graphically but i haven't figured out how to solve it algebraically.
\n" ); document.write( "graphically, i solve it as follows:
\n" ); document.write( "set y1 = log(x)^log(x)
\n" ); document.write( "set y2 = 506
\n" ); document.write( "graph both equations using graphing software or graphing calculator such as ti-84 plus.
\n" ); document.write( "using the ti-84 plus, you will get the intersection of both graphs is when x = 19119.3959
\n" ); document.write( "it's a little tricky to get it, but it can be done.
\n" ); document.write( "if you replace x in the original equation, you will get:
\n" ); document.write( "log(19119.3959)^(log(19119.3959) = 506.
\n" ); document.write( "the solution to this problem is x = 19119.3959.
\n" ); document.write( "algebraically is another story.
\n" ); document.write( "i haven't figured out how to do that yet.
\n" ); document.write( "you could probably also solve it by iteration, but that's the hard way, since it takes many iterations to narrow it down sufficiently.
\n" ); document.write( "here's a picture of my graphical solution with the results rounded to 3 decimal places.
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