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F.4 log~~對我黎講呢課最困擾..

發問:

1) 5^x+1 + 5^x =24 2) 3^x . 4^x =48 3. if log 3=a,log 5=b~express each of following in terms of a and b log 50^1/2 ......打唔到開方 log 3^10 高手就易過借火 thx

最佳解答:

1) 5^(x+1) + 5^x =24 5(5^x) + 5^x = 24 (5 + 1)5^x = 24 5^x = 4 x log5 = log4 x = log4 / log5 2) (3^x) (4^x) = 48 12^x = 48 x log12 = log48 x = log48 / log12 3) log50^(1/2) = (1/2)(log5 + log10) = (1/2)(b + 1) // log3^10 = 10 log3 = 10a //

其他解答:

1) 係咪 5^(x+1) + 5^x =24 呀? 5 * 5^x + 5^x =24 6 * 5^x =24 5^x = 4 x log5 = log4 x = log4 / log5 2) 12^x = 48 x log12 = log48 x = log48 / log12 3) log 3^10 = 10 * log3 = 10a log 50^1/2 = 1/2 log50 = 1/2 log (5^2 * 2) = 1/2 * ( log5^2 + log2 ) = 1/2 * ( 2 * log5 + log2 ) = 1/2 * ( 2b + log2 ) 仲有隻 log2, 係咪抄錯題目? 2007-05-16 21:19:30 補充: 上面果個做岩左第三條,哈
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