解方程2log(x)8-3log(8)X=1.(提示:设log(x)8=t,用换元法)
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解方程2log(x)8-3log(8)X=1.(提示:设log(x)8=t,用换元法)
解方程2log(x)8-3log(8)X=1.(提示:设log(x)8=t,用换元法)
解方程2log(x)8-3log(8)X=1.(提示:设log(x)8=t,用换元法)
设log(x)8=t
则log(8)x=1/t
方程化为:2t-3/t=1
2t^2-t-3=0
(2t-3)(t+1)=0
得t=3/2,-1
当t=3/2时,得x=8^(2/3)=4
当t=-1时,得x=1/8
因此原方程的解为x=4或1/8
log(x)8=lg8/lgx 所以2t-3/t=1 t=3/2或者-1
lg8/lgx=3/2 2lg8=3lgx 3*2lg2=3lgx x=4
lg8/lgx=-1 x=1/8
log(x+5)=log(x)+log(2) log(8)+log(x)=log(24) 2log(x)=log(2x)+log(3)
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