log a b=log b a,则:ab=?a不等于b

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log a b=log b a,则:ab=?a不等于b

log a b=log b a,则:ab=?a不等于b
log a b=log b a,则:ab=?
a不等于b

log a b=log b a,则:ab=?a不等于b
应该有个a≠b吧,ab=1
log a b=lnb/lna
log b a=lna/lnb
因为log a b=log b a
所以lnb/lna=lna/lnb
(lnb)^2=(lna)^2
lnb=lna 或者lnb=-lna
因为a≠b
所以lna=-lnb
得到lna+lnb=0
ln(ab)=0
所以ab=1

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