document.write( "Question 1134981: This question talks about how the sqrt of x is to the exponent of sqrt of x indefinitely. The answer to it is 2 but the goal is to find x. How would you solve this question?\r
\n" );
document.write( "\n" );
document.write( "Image : https://ibb.co/pdHnWmt''.\r
\n" );
document.write( "\n" );
document.write( "I don’t get how it’s 2. Please explain a method without involving graphing calculator. \n" );
document.write( "
Algebra.Com's Answer #752489 by greenestamps(13200)![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "Previously answered (question 1134770); the response is repeated here. \n" ); document.write( "Given: sqrt(x)^sqrt(x)^sqrt(x)^sqrt(x)^sqrt(x)^sqrt(x)... = 2 \n" ); document.write( "Square both sides, remembering that \n" ); document.write( "sqrt(x)^(2*sqrt(x)^sqrt(x)^sqrt(x)^sqrt(x)...) = 4 \n" ); document.write( "sqrt(x)^(2*2) = 4 [everything after the 2 in that equation is equal to what we started with; its value is 2] \n" ); document.write( "sqrt(x)^4 = 4 \n" ); document.write( "x^2 = 4 \n" ); document.write( "x = 2 \n" ); document.write( "The result can be verified using excel, or a graphing calculator. \n" ); document.write( "(1) Calculate the square root of 2; \n" ); document.write( "(2) calculate the square root of 2 raised to that power; \n" ); document.write( "repeat step (2) repeatedly \n" ); document.write( " |