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Enter the mathematical formula directly and click the "Next" button to get the calculation answer.
It supports mathematical functions (including trigonometric functions).
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 lg5^2+(2/3)*lg8+lg5*lg20+(lg2)^2 .
Question type: Mathematical calculation
Solution:
lg5^2+(2/3)*lg8+lg5*lg20+(lg2)^2
=lg5^2+0.666667*lg8+lg5*lg20+(lg2)^2
=lg5^2+0.666667*lg8+lg5*lg20+0.30103^2
=0.69897^2+0.666667*lg8+lg5*lg20+0.301030^2
=0.69897^2+0.666667*0.90309+lg5*lg20+0.301030^2
=0.69897^2+0.666667*0.90309+0.69897*lg20+0.301030^2
=0.69897^2+0.666667*0.90309+0.69897*1.30103+0.301030^2
=0.4885590609+0.666667*0.90309+0.69897*1.30103+0.30103^2
=0.4885590609+0.666667*0.90309+0.69897*1.30103+0.0906190609
=0.4885590609+0.60206+0.69897*1.30103+0.0906190609
=0.4885590609+0.60206+0.909381+0.0906190609
=1.090619+0.909381+0.0906190609
=2+0.0906190609
=2.090619
Answer:lg5^2+(2/3)*lg8+lg5*lg20+(lg2)^2=2.090619
☆1 arithmetic calculations
[1/1 Formula]
Work: Calculate the value of equation lg5^2+(2/3)*lg8+lg5*lg20+(lg2)^2 .
Question type: Mathematical calculation
Solution:
lg5^2+(2/3)*lg8+lg5*lg20+(lg2)^2
=lg5^2+0.666667*lg8+lg5*lg20+(lg2)^2
=lg5^2+0.666667*lg8+lg5*lg20+0.30103^2
=0.69897^2+0.666667*lg8+lg5*lg20+0.301030^2
=0.69897^2+0.666667*0.90309+lg5*lg20+0.301030^2
=0.69897^2+0.666667*0.90309+0.69897*lg20+0.301030^2
=0.69897^2+0.666667*0.90309+0.69897*1.30103+0.301030^2
=0.4885590609+0.666667*0.90309+0.69897*1.30103+0.30103^2
=0.4885590609+0.666667*0.90309+0.69897*1.30103+0.0906190609
=0.4885590609+0.60206+0.69897*1.30103+0.0906190609
=0.4885590609+0.60206+0.909381+0.0906190609
=1.090619+0.909381+0.0906190609
=2+0.0906190609
=2.090619
Answer:lg5^2+(2/3)*lg8+lg5*lg20+(lg2)^2=2.090619