第1个回答 2016-02-13
log3 √27=log3 (3³)^(1/2)
=log3 3^(3/2)
=(3/2)log3 3=3/2
lg25 + 2lg2=lg25 + lg2²
=lg25 + lg4=lg(25•4)
=lg100=2
7^(3log7 2)=7^(log7 2³)
=7^(log7 8)=8
lg4+lg3=lg(4•3)=lg12
(1/2)lg0.36=lg√0.36=lg0.6
(1/3)lg8=lg8^(1/3)=lg2
分母=lg10 + lg0.6 + lg2
=lg(10•0.6•2)=lg12
∴原式=3/2 + 2 + 8 + lg12/lg12
=1.5 + 10 + 1
=12.5