一條F.3 MATH問題!(law of indices)

2008-09-13 5:08 pm
IF 3=6^x AND 6=3^y , THEN xy= ???


比STEP~~THX!

回答 (1)

2008-09-13 5:56 pm
✔ 最佳答案
3 = 6^x............(1)
6 = 3^y............(2)
Sub. (2) into (1), we get
3 = (3^y)^x
3= 3^(xy)
3^1 = 3^(xy)
therefore, xy = 1.


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