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E3 a)(4/9)^(x+1)×(27/8)^x=2/3
(2/3)^(2x+2)×(2/3)^-3x=(2/3)¹
(2/3)^(-x+2)=(2/3)¹
-x+2=1
-x=1-2
-x=-1
x=1
Formula folosita : (a/b)^n=(b/a)^-n
b)(3/11)^(3x-10)=(11/3)^(7x-10)
(3/11)^(3x-10)=(3/11)^(-7x+10)
3x-10=-7x+10
3x+7x=10+10
10x=20
x=20:10=2
c)(0,25)^(3-x)=256/2^(x+5)
2^(-6+2x)=2^(3-x)
-6+2x=3-x
2x+x=3+6
3x=9
x=9:3=3
E4 b)3^(2x+1)+3^2x-3^(2x-1)=297
(9+3-1)×3^(2x-1)=297
11×3^(2x-1)=297
3^(2x-1)=27
3^(2x-1)=3³
2x-1=3
2x=3+1
2x=4
x=4:2
x=2
