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大家可唔可以幫我解答呢條問題呢 ? Steps 盡量要詳細 d, 我想知道計算嗰個過程.. (log249) x (log316) x (log727) = ? 小弟最唔明就係 log2, log3, log7 點解.. 希望大家可以幫到我 !
最佳解答:
log 49 to base 2 = log 49/log 2 both to base 10. log 16 to base 3 = log 16/log 3 both to base 10 log 27 to base 7 = log 27/ log 7 both to base 10. log 49 = log 7^2 = 2 log 7. log 16 = log 2^4 = 4 log 2. log 27 = log 3^3 = 3 log 3. so it becomes 2 log 7/log 2 x 4 log 2/log 3 x 3 log 3/log 7 = 2 x 4 x 3 = 24. 2009-04-02 22:32:47 補充： This question is based on 2 principles : (1)log A to the base B = log A/ log B both to a same base C. (2) log (M^n) = n log M.
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log 既問題發問:
大家可唔可以幫我解答呢條問題呢 ? Steps 盡量要詳細 d, 我想知道計算嗰個過程.. (log249) x (log316) x (log727) = ? 小弟最唔明就係 log2, log3, log7 點解.. 希望大家可以幫到我 !
最佳解答:
log 49 to base 2 = log 49/log 2 both to base 10. log 16 to base 3 = log 16/log 3 both to base 10 log 27 to base 7 = log 27/ log 7 both to base 10. log 49 = log 7^2 = 2 log 7. log 16 = log 2^4 = 4 log 2. log 27 = log 3^3 = 3 log 3. so it becomes 2 log 7/log 2 x 4 log 2/log 3 x 3 log 3/log 7 = 2 x 4 x 3 = 24. 2009-04-02 22:32:47 補充： This question is based on 2 principles : (1)log A to the base B = log A/ log B both to a same base C. (2) log (M^n) = n log M.
其他解答:
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