Question

3log9(lg2-1)2+5log25(lg0.5-2)2=

3

．

Answer 1

分析：利用對(duì)數(shù)恒等式和對(duì)數(shù)的運(yùn)算法則即可得出．

解答：解：原式=3log3(1-lg2)+5log5(2-lg0.5)=1-lg2+2-lg

1

2

=3-lg2+lg2=3．
故答案為3．

點(diǎn)評(píng)：熟練掌握對(duì)數(shù)恒等式和對(duì)數(shù)的運(yùn)算法則是解題的關(guān)鍵．