Logarithmic problem

2007-12-16 7:34 pm
Solve using log

2(27)^X = 9^(X+1)

可以的話,請用log 10
唔該幫幫手!!!!!!!!!!!!!!!!!
Answer is 2.631!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

回答 (1)

2007-12-16 8:27 pm
✔ 最佳答案
2(27)^X = 9^(X+1)

2(3)^3x=3^[2(x+1)]
take log on both side
log2+3xlog3=2(x+1)log3
log2=(2-x)log3
2-x=log2/log3
2-x~0.631
x~1.37
用呢個代番條式係正確,但我用2.631代番條式度就唔得~~


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