[log3(4)+log根下3(2)][log2(9)+log4(根3)]
题目是(log以3为底4的对数+log以根3为底2的对数)(log以2为底9的对数+log以4为底根3的对数)
人气:415 ℃ 时间:2019-10-24 10:47:39
解答
[log3(4)+log根下3(2)][log2(9)+log4(根3)]
=[lg4/lg3+lg2/lg根下3][lg9/lg2+lg根3/lg4]
=[2lg2/lg3+2lg2/lg3][2lg3/lg2+1/4lg3/lg2]
=4lg2/lg3*9/4lg3/lg2
=9答案是对的,解法没看明白。题目是(log以3为底4的对数+log以根3为底2的对数)(log以2为底9的对数+log以4为底根3的对数)主要是利用换底公式loga(b)=lgb/lga
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