數學白痴 求解簡單方程式一條

2007-09-07 4:44 am
r^6=1/64

求解果個過程(詳細小小) thank you!

回答 (3)

2007-09-07 5:00 am
✔ 最佳答案
64 = 8^2 = (2^3)^2 = 2^(3*2) = 2^6

所以,
r^6 = 1/64 = 1/2^6
r^6 = (1/2)^6
r = 1/2
參考: me
2007-09-07 7:18 am
r^6 = 1/64
log r^6 =log(1/64)
6 x log r = log (1/64)
6 x log r = log 1 - log 64
log r = -(log64)/6
r = 10^((log64)/-6)
r = 10^((log(2^6))/-6)
r = 10^((6log2)/-6)
r = 10^(-log2)
r = 0.5
2007-09-07 5:01 am
 r 的 6次方 = 64分之一

→ r =2分之1

PS. 1/2 × 1/2= 1/4

1/4 × 1/2= 1/8

  1/8 × 1/2=1/16

  1/16× 1/2=1/32

  1/32× 1/2=1/64→答案ANS
參考: 不會很正常,別說自己是白痴,要說自己還沒學過Q_Q


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