2^x=4^(y+1),2y=3^(y-1),求x和y的值

问题描述:

2^x=4^(y+1),2y=3^(y-1),求x和y的值

4^(y+1)=2^(2y+2)
x=2y+2
2y=3^y/3
6y=3^y
(6y)'=(3^y)'
6=(3^y)*ln3
3^y= 6/ln3
两边以3为底取对数
y=log(3) (6/ln3)