Question

已知lg2=0.3010,lg3=0.4771,计算:(1)lg9/2;(2)lg3.6;(3)lg根号6/2

Answer 1

已知lg2=0.3010,lg3=0.4771,计算:

(1)lg9/2

=2lg3-lg2

=2x0.4771-0.3010

=0.9542-0.3010

=0.6532

(2)lg3.6

=2(lg2+lg3)-1

=2x(0.3010+0.4771)-1

=2x0.7781-1

=1.5562-1

=0.5562

(3)lg根号6/2

=lg根号3/2

=1/2(lg3-lg2)

=1/2x(0.4771-0.3010)

=1/2x0.1761

=0.08805