SOLUTION: 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?
Ima
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-> SOLUTION: 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?
Ima
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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?
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I don’t get how it’s 2. Please explain a method without involving graphing calculator. Found 2 solutions by greenestamps, ikleyn:Answer by greenestamps(13200) (Show Source):
Given : sqrt(x)^sqrt(x)^sqrt(x)^sqrt(x)^sqrt(x)^sqrt(x)... = 2. (1)
Look into the many-floor degree index at the lowest .
This many-floor degree index is nothing else as 2 (as it is given !).
So you can rewrite equation (1) in an equivalent form
= 2. (2)
Since = x, equation (2) is equivalent to
x = 2, which gives you the ANSWER.
