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           ☆1 arithmetic calculations

[1/1 Formula]
    Work: Calculate the value of equation 100-20*log(10,314)-20*log(10,sqrt(1+314*314))+20*log(10,sqrt(1+314*314/4))-40*log(10,sqrt(1+314*314/625)) .
    Question type: Mathematical calculation
    Solution:
          100-20*log(10,314)-20*log(10,sqrt(1+314*314))+20*log(10,sqrt(1+314*314/4))-40*log(10,sqrt(1+314*314/625))
        =100-20*2.49693-20*log(10,sqrt(1+314*314))+20*log(10,sqrt(1+314*314/4))-40*log(10,sqrt(1+314*314/625))
        =100-20*2.49693-20*log(10,sqrt98597)+20*log(10,sqrt(1+314*314/4))-40*log(10,sqrt(1+314*314/625))
        =100-20*2.49693-20*2.496932+20*log(10,sqrt(1+314*314/4))-40*log(10,sqrt(1+314*314/625))
        =100-20*2.49693-20*2.496932+20*log(10,sqrt24650)-40*log(10,sqrt(1+314*314/625))
        =100-20*2.49693-20*2.496932+20*2.195908-40*log(10,sqrt(1+314*314/625))
        =100-20*2.49693-20*2.496932+20*2.195908-40*log(10,sqrt158.7536)
        =100-20*2.49693-20*2.496932+20*2.195908-40*1.100362
        =100-49.9386-20*2.496932+20*2.195908-40*1.100362
        =100-49.9386-49.93864+20*2.195908-40*1.100362
        =100-49.9386-49.93864+43.91816-40*1.100362
        =100-49.9386-49.93864+43.91816-44.01448
        =50.0614-49.93864+43.91816-44.01448
        =0.12276+43.91816-44.01448
        =44.04092-44.01448
        =0.02644

    Answer:100-20*log(10,314)-20*log(10,sqrt(1+314*314))+20*log(10,sqrt(1+314*314/4))-40*log(10,sqrt(1+314*314/625))=0.02644


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