来自郝靖的问题
loga18=m,loga24=n,用m和n表示loga1.5
loga18=m,loga24=n,用m和n表示loga1.5
1回答
2020-04-10 01:58
loga18=m,loga24=n,用m和n表示loga1.5
loga18=m,loga24=n,用m和n表示loga1.5
n=loga(24)=loga(3*2^3)=loga(3)+loga(2^3)=loga(3)+3loga(2)=>2n=6loga(2)+2loga(3)
m=loga(18)=loga(2*3^2)=loga(2)+loga(3^2)=loga(2)+2loga(3)
=>2n-m=5loga(2)=>loga(2)=(2n-m)/5;loga(3)=(3m-n)/5
loga1.5=loga(3/2)=loga(3)-loga(2)=(4m-3n)/5.ans