正项等比数列{an}中.a6a15=a9a12=30,则log15a1a2...a20=多少?

来源:学生作业帮助网 编辑:作业帮 时间:2024/11/19 11:16:33
正项等比数列{an}中.a6a15=a9a12=30,则log15a1a2...a20=多少?
x){v˅;|~ʳvLN̫}c^Ymeӎ9醦FzzzFOzaMR>U/MH4)I4J4M4R`zfZ`́-0C h X | c8CM1@-0AH6DH3&mh/.H̳y

正项等比数列{an}中.a6a15=a9a12=30,则log15a1a2...a20=多少?
正项等比数列{an}中.a6a15=a9a12=30,则log15a1a2...a20=多少?

正项等比数列{an}中.a6a15=a9a12=30,则log15a1a2...a20=多少?
等比数列{an}a1*a20=a2*a19=a3*a18
=.=a6*a15=a7*a14=...a10*a11=30
则log15a1a2...a20=log15(30^10)
=10*log15(30)
=10*[1+log15(2)]
=10+10log15(2)