If log 2 = p & log 3 = q. What is log 15 ?

👨🏻‍🏫 學術台數學

用戶121134

2008-01-19 9:05 pm

If log 2 = p and log 3 = q. What is log 15 in terms of p and q?

回答 (2)

NCY

2008-01-19 10:06 pm

✔ 最佳答案

As follows~

圖片參考：http://i248.photobucket.com/albums/gg191/ncy_0916/log.jpg?t=1200722754

2008-01-19 14:08:12 補充：
log(M/N) = logM ﹣ logNlog(MN) = logM + logNlog10 = 1

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用戶3640

2008-01-19 9:10 pm

log15=log(3)(10)/2=log3+log10-log2=q-p+1

參考: me

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