SOLUTION: Evaluate log 512 to the base 2√ 2 ??

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Question 748865: Evaluate log 512 to the base 2√ 2 ??
Answer by lwsshak3(11628) About Me  (Show Source):
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Evaluate log 512 to the base 2√ 2
let x=log of 512 base(2√2)
exponential form: base(2√2) raised to log of number(x)=number(512)
(2√2)^x=512
xlog(2√2)=log(512)
x=log(512)/log(2√2)
x=6
check:
(2√2)^6=512