Oblicz: a) log₅275 – log₅11; b) log₀,₅10 + log₀,₅10.
Oblicz:
a) log₅275 – log₅11;
b) log₀,₅10 + log₀,₅10.
log₅275 – log₅11=log5(275:11)=log5 25=2 log₀,₅10 + log₀,₅10=log0,5 (10*10)=log0,5 100
log₅275 – log₅11 = log₅(275:11) = log₅25 =2 log₀,₅10 + log₀,₅10. = log₀,₅ (10*10) =log₀,₅ 100
a) log₅275 – log₅11 = log₅(275/11) = log₅25 = 2 b) log₀,₅10 + log₀,₅10 = log₀,₅(10 10) = log₀,₅100 = (log100)/log(0,5)= 2/(-0.3010)= -6,64 (po zaokragleniu)