已知log6(2)=a,试用a表示log3(6)具体步骤_数学解答

已知log6(2)=a,试用a表示log3(6)具体步骤

人气：291 ℃　时间：2020-06-27 00:03:02

解答

a=log6(2)=1/log2(6)=1/log2(2*3)=1/[log2(3)+1] 所以log2(3)=1/a-1
log3(6)
=log3(2*3)
=log3(2)+1
=1/log2(3)+1
=1/[1/a-1]+1
=a/(1-a) +1
=1/(1-a)