Question

（1）已知lg3=0.4771, lgx=-3.5229,则x=? (2) 若log(3)2=a,用a表示代数式log(

Answer 1

(1)

lg3=0.4771

lgx=-3.5229

=-4+0.4771

=-4+lg3

=lg10^(-4)+lg3

=lg3×10^(-4)

所以

x=3×10^(-4)

(2)

log(3)2=a

log(2)12

=log(2)(2²×3)

=log(2)2²+log(2)3

=2+log(2)3

=2+1/a