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Favorite Answer
Should be: Log_sqrt of 8 OF 512+log_512 OF sqrt of 8
log_√8(512) + log_512(√8)
= log₈(512)/log₈(√8) + log₈(√8)/log₈(512)
= log₈(8^3)/log₈(8^(1/2)) + log₈(8^(1/2))/log₈(8^3)
= 3/(1/2) + (1/2)/3
= 6 + 1/6
= 6 1/6
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log(sqrt(8))/log(512) + log(512)/log(sqrt(8)) = 37/6