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)a>c>b ( ) b>c>a ( )c>b>a ( )c>a>b
logab·logcb=logca logab·logca=logcb loga(bc)=logab·logac loga(b+c)=logab+logac
log0.52.7>log0.52.8 log34>log65 log34>log56 logπe>logeπ
xa>xb logxa>logxb logax>logbx
log32<log23<log25 log32<log25<log23 log23<log32<log25 log23<log25<log32
log20.8<0.993.3<log3π log20.8<log3π<0.993.3 0.993.3<log20.81<log3π log3π<0.993.3<log20.8
log20.9<0.90.3<log3π log20.9<log3π<0.90.3 0.90.3<log20.9<log3π log3π<log20.9<0.90.3
loga(logax)ax2<(logax)2 loga(logax)< (logax)2< logax2 logax2a(logax)< (logax)2 (logax)2ax2a(logax)
log23.424.3 log67>log76 log0.23>log0.33 log3π0.3π