Question

求解方程

要过程~

Answer 1

2^x/3^x*3^(2x)/2^(3x)=3^3/2^6
3^x/2^(2x)=3^3/2^6
显然x=3

8^[(x-3)/2]=4^[(2-x)/3]
2^[3(x-3)/2]=2^[2(2-x)/3]
所以
3(x-3)/2=2(2-x)/3
9(x-3)=4(2-x)
9x-27=8-4x
13x=35
x=35/13

(3/7)^(3x+1)=(3/7)^(3-5x)
所以3x+1=3-5x
8x=2
x=1/4

Answer 2

1、
(2/3*9/8)^x=27/64
(3/4)^x=(3/4)³
x=3

2、
√[2^(3x-9)]=³√[2^(4-2x)]
2^[(3x-9)/2]=2^[(4-2x)/3]
(3x-9)/2=(4-2x)/3
9x-27=8-4x
x=35/13

3、
(3/7)^(3x+1)=(3/7)^[-(5x-3)]
3x+1=-5x+3
x=1/4

Answer 3

1. (2/3*9/8)^x=27/64
(3/4)^x=(3/4)^3
x=3

2.√2^(3x-9)=³√2^(4-2x)
2^[(3x-9)/2]=2^[(4-2x)/3]
(3x-9)/2=(4-2x)/3
x=35/13

3. (3/7)^(3x+1)=(3/7)^(3-5x)
3x+1=3-5x
x=1/4