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Current location：Mathematical operation > History of Mathematical Computation > Answer
Overview: 1 questions will be solved this time.Among them
☆1 arithmetic calculations
[1/1 Formula]
Work: Calculate the value of equation 20*lg(70)+20*lg(1/1.3*0.1)+20*lg(1/7.073*0.1)-20*lg(0.12*0.1)-20*lg(0.02*0.1)-20*lg(1/0.205*0.1)-20*lg(1/23.894*0.1) .
Question type: Mathematical calculation
Solution:
20*lg(70)+20*lg(1/1.3*0.1)+20*lg(1/7.073*0.1)-20*lg(0.12*0.1)-20*lg(0.02*0.1)-20*lg(1/0.205*0.1)-20*lg(1/23.894*0.1)
=20*lg70+20*lg(1/1.3*0.1)+20*lg(1/7.073*0.1)-20*lg(0.12*0.1)-20*lg(0.02*0.1)-20*lg(1/0.205*0.1)-20*lg(1/23.894*0.1)
=20*lg70+20*lg0.076923+20*lg(1/7.073*0.1)-20*lg(0.12*0.1)-20*lg(0.02*0.1)-20*lg(1/0.205*0.1)-20*lg(1/23.894*0.1)
=20*lg70+20*lg0.076923+20*lg0.014138-20*lg(0.12*0.1)-20*lg(0.02*0.1)-20*lg(1/0.205*0.1)-20*lg(1/23.894*0.1)
=20*lg70+20*lg0.076923+20*lg0.014138-20*lg0.012-20*lg(0.02*0.1)-20*lg(1/0.205*0.1)-20*lg(1/23.894*0.1)
=20*lg70+20*lg0.076923+20*lg0.014138-20*lg0.012-20*lg0.002-20*lg(1/0.205*0.1)-20*lg(1/23.894*0.1)
=20*lg70+20*lg0.076923+20*lg0.014138-20*lg0.012-20*lg0.002-20*lg0.487805-20*lg(1/23.894*0.1)
=20*lg70+20*lg0.076923+20*lg0.014138-20*lg0.012-20*lg0.002-20*lg0.487805-20*lg0.004185
=20*1.845098+20*lg0.076923+20*lg0.014138-20*lg0.012-20*lg0.002-20*lg0.487805-20*lg0.004185
=20*1.845098+20*-1.113944+20*lg0.014138-20*lg0.012-20*lg0.002-20*lg0.487805-20*lg0.004185
=20*1.845098+20*-1.113944+20*-1.849612-20*lg0.012-20*lg0.002-20*lg0.487805-20*lg0.004185
=20*1.845098+20*-1.113944+20*-1.849612-20*-1.920819-20*lg0.002-20*lg0.487805-20*lg0.004185
=20*1.845098+20*-1.113944+20*-1.849612-20*-1.920819-20*-2.69897-20*lg0.487805-20*lg0.004185
=20*1.845098+20*-1.113944+20*-1.849612-20*-1.920819-20*-2.69897-20*-0.311754-20*lg0.004185
=20*1.845098+20*-1.113944+20*-1.849612-20*-1.920819-20*-2.69897-20*-0.311754-20*-2.378305
=36.90196+20*(-1.113944)+20*(-1.849612)-20*(-1.920819)-20*(-2.69897)-20*(-0.311754)-20*(-2.378305)
=36.90196+(-22.27888)+20*(-1.849612)-20*(-1.920819)-20*(-2.69897)-20*(-0.311754)-20*(-2.378305)
=36.90196+-22.27888+(-36.99224)-20*(-1.920819)-20*(-2.69897)-20*(-0.311754)-20*(-2.378305)
=36.90196+-22.27888+-36.99224-(-38.41638)-20*(-2.69897)-20*(-0.311754)-20*(-2.378305)
=36.90196+-22.27888+-36.99224-(-38.41638)-(-53.9794)-20*(-0.311754)-20*(-2.378305)
=36.90196+-22.27888+-36.99224-(-38.41638)--53.9794-(-6.23508)-20*(-2.378305)
=36.90196+-22.27888+-36.99224-(-38.41638)--53.9794-(-6.23508)-(-47.5661)
=14.62308+(-36.99224)-(-38.41638)-(-53.9794)-(-6.23508)-(-47.5661)
=-22.36916-(-38.41638)-(-53.9794)-(-6.23508)-(-47.5661)
=16.04722-(-53.9794)-(-6.23508)-(-47.5661)
=70.02662-(-6.23508)-(-47.5661)
=76.2617-(-47.5661)
=123.8278
Answer:20*lg(70)+20*lg(1/1.3*0.1)+20*lg(1/7.073*0.1)-20*lg(0.12*0.1)-20*lg(0.02*0.1)-20*lg(1/0.205*0.1)-20*lg(1/23.894*0.1)=123.8278