幫幫忙 log數

2012-04-06 9:26 am
解log9(4x-1)-log9(x+1)=1/2
若log2=a log3=b
answer??

回答 (2)

2012-04-06 3:25 pm
✔ 最佳答案
解log9_(4x-1)-log9_(x+1)=1/2,若log2=a,log3=b,answer??
Sol
log9_(4x-1)-log9_(x+1)=1/2
log(4x-1)/log9-log(x+1)/log9=1/2
log(4x-1)-log(x+1)=log3
(4x-1)/(x+1)=3
4x-1=3x+3
x=4


2012-04-07 6:22 am
[log(4x-1)]/log9-[log(x+1)]/log9=1/2
log[(4x-1)/(x+1)]/log9=1/2
2log[(4x-1)/(x+1)]=log9
(4x-1)/(x+1)=3
4x-1=3x+3
x=4


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