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

Algebra ->  Algebra  -> Exponents -> SOLUTION: solve for x x^x^x^x^.....x^3 = 3      Log On

Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!
Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!

   

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