點計呢條數ar??(10分)

2006-11-14 2:06 am
點計呢條數ar??

5^x+1=100+5^x

回答 (3)

2006-11-14 2:15 am
✔ 最佳答案
指數方程 (exponential equation)
5x+1 = 100+5x
5x‧51 = 100+5x
5(5x)﹣5x = 100
(5﹣1)5x = 100
4(5x) = 100
5x = 100 / 4
5x = 25
5x = 52
x = 2
註:「‧」符號等於乘



2006-11-13 18:26:35 補充:
↓左方4(5x)中的4,因為是乘,故可以將它調向右方,乘變除。4(5x) = 1005x = 100 / 4

2006-11-13 18:27:33 補充:
將同類項放在一邊,非同類項放在另一邊
參考: 中四級數學書
2006-11-14 2:30 am
5^(x + 1) = 100 + 5^x
5^x .5^1 = 100 + 5^x
5(5^x) = 100 + 5^x
4(5^x) = 100
5^x = 25
5^x = 5^2
x = 2
2006-11-14 2:17 am
你既問題係咪咁
5^(x + 1) = 100 + 5^x
5^x .5^1 = 100 + 5^x
5(5^x) = 100 + 5^x
4(5^x) = 100
5^x = 25
5^x = 5^2
x = 2


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