log2^5乘以log5^2等于多少?

问题描述:

log2^5乘以log5^2等于多少?

log2^5乘以log5^2
log2^5=lg5/lg2
log5^2=lg2/lg5
log2^5乘以log5^2
==lg5/lg2 x lg2/lg5
上下同时舍去就为1了!
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log2^5=lg5/lg2
log5^2=lg2/lg5
所以
log2^5乘以log5^2=1

=lg5/lg2 x lg2/lg5
=1