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Step-by-step explanation:
log√8\log8
log(√2×2×2)/log(2×2×2)
log2√2/log2^3
log2•log√2 /3log2
log2•log2^1/2 /3log2
log2• 1/2log2 /3log2
log2 (1+1/2). /3log2
log2 cancel from numerator and denominator
(1+1/2) /3
3/2 ÷3
1/2