3 8(X-1)=27

来源:学生作业帮助网 编辑:六六作业网 时间:2024/05/29 12:36:08
38(X-1)=2738(X-1)=2738(X-1)=27(27/8)^(x-1)乘以(2/3)^(2x-3)=9/4(3/2)^3(x-1)乘以(2/3)^(2x-3)=(3/2)^2(3/2)^

3 8(X-1)=27
3 8(X-1)=27

3 8(X-1)=27
(27/8)^(x-1)乘以(2/3)^(2x-3)=9/4
(3/2)^3(x-1)乘以(2/3)^(2x-3)=(3/2)^2
(3/2)^(3x-3)乘以(2/3)^(2x-3)=(3/2)^2
由(3/2)^(2x-3)乘以 (3/2)^x 乘以(2/3)^(2x-3)=(3/2)^2
得 (3/2乘以2/3)^(2x-3)乘以 (3/2)^x =(3/2)^2
1^(2x-3)乘以 (3/2)^x =(3/2)^2 又 由 1^(2x-3)=1
得 (3/2)^x =(3/2)^2
所以x=2