Question

計(jì)算log₁₅5•log₁₅45+（log₁₅3）²（需寫(xiě)出計(jì)算過(guò)程，只有結(jié)果不得分）．

Answer 1

分析：直接利用對(duì)數(shù)的運(yùn)算性質(zhì)解答即可．

解答：解：log₁₅5•log₁₅45+（log₁₅3）²=log₁₅5•（log₁₅3+1）+（log₁₅3）²
=log₁₅3（log₁₅5+log₁₅3）+log₁₅5
=log₁₅3+log₁₅5
=1

點(diǎn)評(píng)：考查了對(duì)數(shù)的運(yùn)算性質(zhì)，靈活運(yùn)用對(duì)數(shù)運(yùn)算性質(zhì)解決數(shù)學(xué)問(wèn)題的能力，屬于基礎(chǔ)題．