a → Răspuns ↓
(0,4^x)^2 • (2/5)^3 = (2/5)^7
(0,4^x)^2 = (2/5)^4
(2/5)^2x = (2/5)^4
2x = 4
x = 4/2
x = 2
b → Răspuns ↓
(9/8)^2x ÷ (9/8)^4 = (9/8)^18
(9/8)^2x-4 = (9/8)^18
2x-4 = 18
2x = 18+4
2x = 22
x = 22/2
x = 11
c → Răspuns ↓
0^5 • (1/9)^x = (1/9)^10
0 • (1/9)^x = (1/9^10)
0 = 1/9^10
x = ∅
d → Răspuns ↓
(2/5)^x ÷ 0,4^6 = (2/5)^6
(2/5)^x ÷ (2/5)^6 = (2/5)^6
(2/5)^x-6 = (2/5)^6
x-6 = 6
x = 6+6
x = 12
e → Răspuns ↓
(2/5)^16 = (2/5)^x^2 ÷ 13
(2/5)^x^2 + 13 = (2/5)^16
x^2 + 13 = 16
x^2 = 16-13
x^2 = 3
x = ± √3
x1 = - √3
x2 = √3
f → Răspuns ↓
(5 • 0,2)^7 = (13/11 • 11/39)^x
1^7 = (1/3)^x
1 = (1/3)^x
(1/3)^x = 1
(1/3)^1 = (1/3)^0
x = 0
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