log4 3和log8 3是通过哪条法则转换成(1/2)log2 3和(1/3)log2 3的?
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![log4 3和log8 3是通过哪条法则转换成(1/2)log2 3和(1/3)log2 3的?](/uploads/image/z/2708400-48-0.jpg?t=log4+3%E5%92%8Clog8+3%E6%98%AF%E9%80%9A%E8%BF%87%E5%93%AA%E6%9D%A1%E6%B3%95%E5%88%99%E8%BD%AC%E6%8D%A2%E6%88%90%EF%BC%881%2F2%29log2+3%E5%92%8C%EF%BC%881%2F3%29log2+3%E7%9A%84%3F)
log4 3和log8 3是通过哪条法则转换成(1/2)log2 3和(1/3)log2 3的?
log4 3和log8 3是通过哪条法则转换成(1/2)log2 3和(1/3)log2 3的?
log4 3和log8 3是通过哪条法则转换成(1/2)log2 3和(1/3)log2 3的?
logb a=(lna)/(lnb)
所以log4 3=(ln3)/(ln4)=(ln3)/2(ln2)=(1/2)[(ln3)/(ln2)]=(1/2)log2 3