高一数学题 对数:log2^3=p log3^7=q log12^42=? 刚刚学对数还不太...
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发布时间：2024-10-23 21:26
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热心网友
时间：2024-10-27 12:26
解log12（42）
=lg42/lg12
=（lg2+lg3+lg7）/(lg2^2+lg3)
=（lg2+lg3+lg7）/(2lg2+lg3)
=（lg2/lg3+lg3/lg3+lg7/lg3）/(2lg2/lg3+1)
=（log3(2)+1+log3(7))/(2log3(2)+1)
=（1/log2(3)+1+log3(7))/(2/log2(3)+1)
=(1/p+1+q)/(2/p+1)
=(1+p+pq)/(2+p)
