log15 5log 15 45 +(log15 3)^2

cdasz2022-10-04 11:39:543条回答

log15 5log 15 45 +(log15 3)^2
都是以15为底的

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共3条回复
htfd 共回答了20个问题 | 采纳率95%
(log15 5)×(log15 45)+(log15 3)²
=(log15 5)×(log15 9 + log15 5)+(log15 3)²
=(log15 5)×(log15 3²)+(log15 5)²+(log15 3)²
=(log15 3)²+2×(log15 3)×(log15 5)+(log15 5)²
=[(log15 3)+(log15 5)]²
=(log15 3×5)²
=(log15 15)²
=1²
=1
1年前
fkueymsn 共回答了630个问题 | 采纳率
原式
=log15 5* log15(5*3^2)+(log15 3)^2
=log15 5 *(log15 5 +2log15 3)+(log15 3)^2
=(log15 5)^2+2log15 3 log15 5+(log15 3)^2
=(log15 5+log15 3)^2
=(log15 15)^2
=1
1年前
ghjghjhh 共回答了4个问题 | 采纳率
= log(15,5) * [log(15,3) + 1] + log(15,3) * log(15,3)
= log(15,3)*[ log(15,5) + log(15,3)] + log(15,5)
= log(15,3) + log(15,5)
= 1
1年前

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