log以2为底6的对数乘以log以3为底6的对数-(log以2为底3的对数+log以3为底2的对数)_数学解答

log以2为底6的对数乘以log以3为底6的对数-(log以2为底3的对数+log以3为底2的对数)

人气：469 ℃　时间：2020-02-02 15:44:41

解答

log2 6*log3 6-(log2 3 +log3 2)
=log2 6*log3 6-log2 3-log3 2
=log2(3x2)*log3 (3x2)-log2 3-log3 2
=(log2 3+log2 2)(log3 3+log3 2)-log2 3-log 3 2
=(log2 3+1)(log3 2+1)-log2 3-log 3 2
=log23*log32+log3 2+log 23+1-log2 3-log 32
=log23*log 32+1
=1+1
=2前面的log22=1log33=1