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log2(log8x)=log8(log2x)求X!log2(log8x)=log8(log2x)求X的值.求过程.

题目详情
log2 (log8 x) = log8(log2 x) 求X!
log2 (log8 x) = log8(log2 x)
求X的值.
求过程.
▼优质解答
答案和解析
log2 (log8 x) = log8(log2 x)
log8 (log8 x)^3 = log8(log2 x)
(log8 x)^3 = (log2 x)=log8 x^3=3log8 x
令log8 x=t>0
t^3=3t
t=0或 t=±√3
log8 t=√3
t=8^(√3)