SOLUTION: Helo, I want to know how to solve this question. Q. Evaluate log 512 to base 2 under root 2 {2^(1/2)} Can you please properly explain how to solve it?

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Question 1011952: Helo, I want to know how to solve this question.
Q. Evaluate log 512 to base 2 under root 2 {2^(1/2)}
Can you please properly explain how to solve it?
Found 2 solutions by ikleyn, rothauserc:
Answer by ikleyn(52855) About Me  (Show Source):
You can put this solution on YOUR website!
.
Helo, I want to know how to solve this question.
Q. Evaluate log 512 to base 2 under root 2 {2^(1/2)}
Can you please properly explain how to solve it?
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log%28sqrt%282%29%2C512%29 ?


512 is a special number: it is 2%5E9: 512 = 2%5E9.

Equivalently, 512 = %28sqrt%282%29%29%5E18, because 2 = %28sqrt%282%29%29%5E2.

Therefore, log%28sqrt%282%29%2C512%29 = 18.



Answer by rothauserc(4718) About Me  (Show Source):
You can put this solution on YOUR website!
if you mean this,
(2^(1/2)) / log base 2 of 512
note that log base 2 of 512 is n in the equation 2^n = 512, n = 9 then
2^(1/2) / 9 = 0.15713484 approx 0.16