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急急急.....對數函數 log! 3

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計下列各式的值18.(c) 1-log5/log 3開方4(個3係開方上方)............... 答案:3/219.(a) log (samll2係下方 ) (8開方2) ................答案:7/221.簡化 log(100y)/1+log開方y .........................答案:223.若 log(個3係開方上方)開方x=12.下列各式的值 (a) log(10x).........................答案:37 (b)logx^2...........................答案:72 顯示更多 計下列各式的值 18.(c) 1-log5/log 3開方4(個3係開方上方)............... 答案:3/2 19.(a) log (samll2係下方 ) (8開方2) ................答案:7/2 21.簡化 log(100y)/1+log開方y .........................答案:2 23.若 log(個3係開方上方)開方x=12.下列各式的值 (a) log(10x).........................答案:37 (b)logx^2...........................答案:72

最佳解答:

1. (1 - log 5)/log (cube root of 4) = (log 10 - log 5)/[(log 4)/(1/3)] = 3[log(10/5)]/(log 4) = (3 log 2)/(2 log 2) = 3/2. 2. log (2)^(1/8) to the base 2 = 1/8 log 2 to the base 2 = 1/8. 3. log 100y /[1 + log y^(1/2)] = (log 100 + log y)/[1 + 1/2 log y] = (2 + log y)/[(2 + log y)/2] = 2. 4. log x^(1/3) = 12 1/3 log x = 12 log x = 36. (a) log (10x) = log 10 + log x = 1 + 36 = 37. (b) log x^2 = 2 log x = 2(36) = 72.

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