2log3的(2的x-1)=log3的2+log3的(2的X+1),X得多少
问题描述:
2log3的(2的x-1)=log3的2+log3的(2的X+1),X得多少
答
2log(3)2^(x-1)=log(3)2+log(3)2^(X+1)
log(3)[2^(x-1)]^2=log(3)2+log(3)2^(X+1)
log(3)[2^(x-1)]^2=log(3)[2^(X+1)*2]
2^(2x-2)=2^(x+2)
2x-2=x+2
x=4