已知lg2=0.3010,lg3=0.4771,求lg2.4和lg根号6的对数式_数学解答

已知lg2=0.3010,lg3=0.4771,求lg2.4和lg根号6的对数式

人气：401 ℃　时间：2020-02-04 10:21:53

解答

lg2.4
=lg24/10
=lg24-lg10
=lg2^3*3-lg10
=3lg2+lg3-lg10
=3*0.3010+0.4771-1
=0.3801
lg根号6
=lg6^1/2
=1/2lg6
=1/2lg(2*3)
=1/2(lg2+lg3)
=1/2*(0.3010+0.4771)
=1/2*0.7781
=0.38905