Question

計(jì)算：log₃

27

+lg25+lg4+7 log72+（-9.8）⁰-log₉3=

 

．

Answer 1

分析：利用對(duì)數(shù)的運(yùn)算性質(zhì)logamn=nlog_am；log_am+log_an=log_amn；alogan=n；a⁰=1，及對(duì)數(shù)換底公式進(jìn)行計(jì)算．

解答：解：原式=

1

2

log₃27+2lg5+2lg2+2+1-

lg3

2lg3

=

3

2

+2+2+1-

1

2

=6．
故答案：6．

點(diǎn)評(píng)：本題考查了對(duì)數(shù)的運(yùn)算性質(zhì)，計(jì)算要細(xì)心．