Question

求助大家一道数学题，谢谢

loga18=m,loga 24=n,用m和n表示loga 1.5

Answer 1

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
loga 1.5=loga(3/2)=loga(3) -loga(2)=(4m-3n)/5....ans

Answer 2

M=loga 18=loga(9*2)=2loga3+loga2 (1)N=loga 24=loga(8*3)=3loga2+loga3 (2)解(1).(2)得:loga2=(2N-M)/5 loga3=(3M-N)/5又loga 1.5=loga(3/2)=loga3-loga2=(3M-N)/5-(2N-M)/5=(4M-3N)/5

Answer 3

loga 1.5=loga(24/18)=loga24-loga18=n-m 不知道是不是这样

Answer 4

loga1.5=loga24-loga18

Answer 5

M=loga 18=loga(9*2)=2loga3+loga2 (1)
N=loga 24=loga(8*3)=3loga2+loga3 (2)
解(1).(2)得:loga2=(2N-M)/5 loga3=(3M-N)/5
又loga 1.5=loga(3/2)=loga3-loga2=(3M-N)/5-(2N-M)/5=(4M-3N)/5

希望采纳！要加分哦

Answer 6

loga18=loga(2×3²)=loga2+2loga3=m
loga24=loga(2³×3)=3loga2+loga3=n
loga2=(2n-m)/5,loga3=(3m-n)/5
loga1.5=loga(3/2)=loga3-loga2=(4m-3n)/5