Question 1011952
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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(sqrt(2),512)}}} ?


512 is a special number: it is {{{2^9}}}: 512 = {{{2^9}}}.

Equivalently, 512 = {{{(sqrt(2))^18}}}, because 2 = {{{(sqrt(2))^2}}}.

Therefore, {{{log(sqrt(2),512)}}} = 18.
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