SOLUTION: Given that log256 base x=2,find log1\x base 8

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Question 662462: Given that log256 base x=2,find log1\x base 8
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

log%28x%2C256%29+=+2 ⇒  x = 16  as 16^2 = 256

log%288%2C1%2Fx%29=+log%288%2C1%2F16%29=-3%2F4   as 1%2F8%5E%284%2F3%29+=+1%2F%28root%283%2C8%29%29%5E4+=+1%2F16