log(x+6) / logx =2

2010-12-24 5:35 am
log(x+6) / logx =2

Find x

回答 (2)

2010-12-24 9:03 am
✔ 最佳答案
log(x+6)/logx=2

log(x+6) =2logx

log(x+6) =logx^2

x+6 =x^2

x^2-x-6 =0

(x+2)(x-3) =0

x=3 or x=-2(rej)
2010-12-24 5:43 am
log(x+6) / logx =2
log(x+6)=log (x^2)
x+6=x^2
x^2-x-6=0
(x+2)(x-3)=0
x=3 or -2(rejected)
thus,x=3


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