化简log(1/a)b+log(a)b

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化简log(1/a)b+log(a)b
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化简log(1/a)b+log(a)b
化简log(1/a)b+log(a)b

化简log(1/a)b+log(a)b
换底公式
原式=lgb/lg(1/a)+lgb/lga
=lgb/lg(a^-1)+lgb/lga
=lgb/(-lga)+lgb/lga
=-lgb/lga+lgb/lga
=0

log(1/a)b+log(a)b
=-log(a)b+log(a)b
=0