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log2(log8m)=log8(log2m)则log22m

题目详情
log2(log8m)=log8(log2m)则log22m
▼优质解答
答案和解析
换底公式lg[log8(m)]/lg2=lg[log2(m)]/lg8lg[log8(m)]/lg2=lg[log2(m)]/3lg2lg[log8(m)]/lg2=lg[log2(m)]^(1/3)所以log8(m)=[log2(m)]^(1/3)令a=log2(m)=lgm/lg2log8(m)=lgm/lg8=a/3所以a/3=a^(1/3)a³/27=aa=0,...