SOLUTION: solve for x x^x^x^x^.....x^3 = 3

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Question 147981: solve for x
x^x^x^x^.....x^3 = 3
Answer by Nate(3500) About Me  (Show Source):
You can put this solution on YOUR website!
x^x^x^x^.....x^3 = 3
log( x^x^x^x^.....x^3 ) = log( 3 )
x^x^x^.....x^3 * log( x ) = log( 3 )
3 * log( x ) = log( 3 )
log( x ) = log( 3 )/3
x = 10^( log( 3 )/3 )
About 1.4422