58问答库 > 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)

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)

求具体过程

2025-04-05 20:47:50

推荐回答（1个）

回答（1）：

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