Esercizi da FARE Matematika

Testo completo

(1)Equazioni esponenziali. Logaritmi. equazioni esponenziali risolubili mediante applicazione delle proprietà delle potenze 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 v 3.0. 6𝑥𝑥 = 36 49𝑥𝑥 =. 𝑥𝑥 = 2. 1 7. 𝑥𝑥 = −. 1 𝑥𝑥+1 � � =9 3 1 2 5𝑥𝑥 = 25 8𝑥𝑥 7𝑥𝑥. 2 −3𝑥𝑥. =1. 2 +4𝑥𝑥+3. 𝑎𝑎 𝑥𝑥 = −2. =. 𝑥𝑥 = −3. 𝑖𝑖𝑖𝑖𝑖𝑖𝑖𝑖𝑖𝑖𝑖𝑖𝑖𝑖𝑖𝑖𝑖𝑖𝑖𝑖𝑖𝑖 𝑥𝑥 = 0 ∪ 𝑥𝑥 = 3. 1 7. 𝑥𝑥 = −2 𝑖𝑖𝑖𝑖𝑖𝑖𝑖𝑖𝑖𝑖𝑖𝑖𝑖𝑖𝑖𝑖𝑖𝑖𝑖𝑖𝑖𝑖. 2 −3𝑥𝑥 27 � � = 3 8 1 33𝑥𝑥 = 27. 𝑥𝑥 = 1 𝑅𝑅𝑅𝑅 = −1. 7 −2𝑥𝑥 9 � � = 3 49 1 4𝑥𝑥+8 = 2𝑥𝑥−5 4. 𝑥𝑥 = 1 𝑥𝑥 = −1. 5 2 𝑥𝑥 = − ∪ 𝑥𝑥 = 2 3. 2. 243𝑥𝑥 −1 = 272(𝑥𝑥+1) 7𝑥𝑥. 2 −4𝑥𝑥. 3𝑥𝑥. 2 −3𝑥𝑥+6. 2𝑥𝑥. −1=0. 2 +𝑥𝑥−20. 4𝑥𝑥 = 8. 𝑥𝑥 = 0 ∪ 𝑥𝑥 = 4. =1. 𝑥𝑥 = −5 𝑥𝑥 = 4. =1. 𝑖𝑖𝑖𝑖𝑖𝑖𝑖𝑖𝑖𝑖𝑖𝑖𝑖𝑖𝑖𝑖𝑖𝑖𝑖𝑖𝑖𝑖 𝑥𝑥 =. 4√𝑥𝑥+1 = 16. 𝑥𝑥 = 2. 10𝑥𝑥 = 0,01. 𝑥𝑥 = −2. 1 5 5𝑥𝑥 = � � 5 7. 1 5+𝑥𝑥 =� � 7. 3 2. 𝑥𝑥 = 3. 3𝑥𝑥+2 = 81. 𝑥𝑥+1. 1 2. 𝑥𝑥 = −5 𝑥𝑥 = −3 © 2016 - www.matematika.it. 1 di 7.

(2) Equazioni esponenziali. Logaritmi. 22 23 24 25 26 27 28 29 30 31 32 33. 34 35 36 37 38 39 40 41. v 3.0. 32𝑥𝑥+3 =. 1 3. 𝑥𝑥 = −2. 2𝑥𝑥+2 + 2𝑥𝑥 = 640 7√𝑥𝑥. 2 −1. 𝑥𝑥 = 7. = 49. 𝑎𝑎6𝑥𝑥 = 𝑎𝑎 𝑥𝑥. 𝑥𝑥 = √5 𝑥𝑥 = −√5. 2. 𝑥𝑥 = 0 𝑥𝑥 = 6. 3𝑥𝑥 − 3 = 0. 𝑥𝑥 = 1. 22𝑥𝑥 = 8. 𝑥𝑥 =. 1 𝑥𝑥 � � −4=0 2. 𝑖𝑖𝑖𝑖𝑖𝑖𝑖𝑖𝑖𝑖𝑖𝑖𝑖𝑖𝑖𝑖𝑖𝑖𝑖𝑖𝑖𝑖. 1 3𝑥𝑥 4� � = 1 2. 𝑥𝑥 =. 1 (3𝑥𝑥 − 1) �52𝑥𝑥 − � = 0 5 − 343 = 0. 2 3. 𝑥𝑥 = 0, 𝑥𝑥 = −. 3(3𝑥𝑥 − 1) = −2 2 −1. 2. 𝑥𝑥 = −2. 32𝑥𝑥 + 9 = 0. 7𝑥𝑥. 3. 𝑥𝑥 = −1. 1 2. 𝑥𝑥 = ±2 equazioni esponenziali risolubili mediante una posizione. 22𝑥𝑥 + 2𝑥𝑥 +1 − 1 = 0. 𝑥𝑥 = 𝑙𝑙𝑙𝑙𝑙𝑙2 �√2 − 1�. 2𝑒𝑒 2𝑥𝑥 + 5𝑒𝑒 𝑥𝑥 = 3. 𝑥𝑥 = 𝑙𝑙𝑙𝑙. 102𝑥𝑥 + 3 ⋅ 10𝑥𝑥 +. 5 =0 4. 𝑖𝑖𝑖𝑖𝑖𝑖𝑖𝑖𝑖𝑖𝑖𝑖𝑖𝑖𝑖𝑖𝑖𝑖𝑖𝑖𝑖𝑖. 32𝑥𝑥 − 3𝑥𝑥 +1 = −2. 202𝑥𝑥+1 + 2 = 9 ∙ 20𝑥𝑥. 1 2. 𝑥𝑥 = 0 ∪ 𝑥𝑥 =. 𝑙𝑙𝑙𝑙 2 𝑙𝑙𝑙𝑙 3. 𝑥𝑥 = 0 ∪ 𝑥𝑥 =. 𝑙𝑙𝑙𝑙 2 𝑙𝑙𝑙𝑙 3. 𝑖𝑖𝑖𝑖𝑖𝑖𝑖𝑖𝑖𝑖𝑖𝑖𝑖𝑖𝑖𝑖𝑖𝑖𝑖𝑖𝑖𝑖. 32𝑥𝑥 − 3𝑥𝑥 +1 = −1 2. 9𝑥𝑥 − 3𝑥𝑥+1 + 2 = 0. 𝑥𝑥 = 0 ∪ 𝑥𝑥 =. 𝑙𝑙𝑙𝑙 2 𝑙𝑙𝑙𝑙 3. 𝑥𝑥 = 0 ∪ 𝑥𝑥 = 𝑙𝑙𝑙𝑙𝑙𝑙5 2 4. 52√𝑥𝑥 − 5√𝑥𝑥+1 + 4 = 0 © 2016 - www.matematika.it. 2 di 7.

(3) Equazioni esponenziali. Logaritmi. 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62. v 3.0. 34√𝑥𝑥 − 4 ∙ 32√𝑥𝑥 + 3 = 0. 𝑥𝑥 = 0 ∪ 𝑥𝑥 =. 1 𝑥𝑥−1 1 1−𝑥𝑥 � � +� � =2 3 3. 𝑥𝑥 = 1. 3 1 16𝑥𝑥 − 4𝑥𝑥 + = 0 2 2. 1 𝑥𝑥 = − ∪ 𝑥𝑥 = 0 2. 23𝑥𝑥−2 − 23𝑥𝑥−3 − 23𝑥𝑥−4 = 4. 𝑥𝑥 = 2. 32−𝑥𝑥 + 3𝑥𝑥+1 = 12. 𝑥𝑥 = 0 ∪ 𝑥𝑥 = 1. 1 1 2 − 𝑥𝑥 = − 𝑥𝑥 2𝑥𝑥 2 (7 − 1) 7 7 − 72𝑥𝑥 4𝑥𝑥+8 =. 1 4. 𝑥𝑥 = −. 1. 𝑙𝑙𝑙𝑙 2 𝑙𝑙𝑙𝑙 49. 𝑥𝑥 = −1. 42𝑥𝑥−5. 3𝑥𝑥+1 = 21−𝑥𝑥. 𝑥𝑥 =. 2𝑥𝑥+3 + 4𝑥𝑥 +1 = 320. 𝑙𝑙𝑙𝑙𝑙𝑙2 − 𝑙𝑙𝑙𝑙𝑙𝑙3 𝑙𝑙𝑙𝑙𝑙𝑙3 + 𝑙𝑙𝑙𝑙𝑙𝑙2. 𝑥𝑥 = 3. 4𝑥𝑥 + 2𝑥𝑥 − 2 = 0. 𝑥𝑥 = 0. 25𝑥𝑥 − 2 ⋅ 5𝑥𝑥+1 + 25 = 0. 𝑥𝑥 = 1. 3𝑥𝑥+2 + 32−𝑥𝑥 = 82. 𝑥𝑥 = 2 𝑥𝑥 = −2. 𝑒𝑒 2𝑥𝑥 + 𝑒𝑒 𝑥𝑥 − 2 = 0. 𝑥𝑥 = 0. 52𝑥𝑥 − 125 =0 5𝑥𝑥 − 1. 𝑥𝑥 =. −2 ∙ 5𝑥𝑥 +2 + 25𝑥𝑥 +1 = 375. 3 2. 𝑥𝑥 = 1. 5x+2 − 4 ∙ 51−x − 30 = −52−x. 𝑥𝑥 = 0, 𝑥𝑥 = −1. 32𝑥𝑥 − 4 ∙ 3𝑥𝑥 + 3 = 0. 𝑥𝑥 = 0 ∪ 𝑥𝑥 = 1. 4𝑥𝑥 − 6 ∙ 2𝑥𝑥 − 16 = 0. 𝑥𝑥 = 3. 𝑥𝑥. 3𝑥𝑥+1 − 4 ∙ 32 + 1 = 0. 𝑥𝑥 = −2 ∪ 𝑥𝑥 = 0. 32𝑥𝑥+1 − 28 ∙ 3𝑥𝑥 + 9 = 0. 𝑥𝑥 = −1 ∪ 𝑥𝑥 = 2. 1 2𝑥𝑥 1 𝑥𝑥 � � − 5� � + 4 = 0 2 2. 𝑥𝑥 = −2 ∪ 𝑥𝑥 = 0. © 2016 - www.matematika.it. 3 di 7.

(4) Equazioni esponenziali. Logaritmi. 63 64 65 66 67. 9𝑥𝑥 − 2 ∙ 3𝑥𝑥 + 1 = 0. 𝑥𝑥 = 0. 4𝑥𝑥−1 − 3 ∙ 2𝑥𝑥−1 − 4 = 0 𝑥𝑥+1 3. 1 � � 4. 2. 𝑥𝑥+1 3. 1 − 5� � 2. 𝑥𝑥 = 3 𝑥𝑥 = −7 ∪ 𝑥𝑥 = −1. +4=0. 2𝑥𝑥 2 −4𝑥𝑥−1. 2 1 𝑥𝑥 −2𝑥𝑥 1 � � −� � =0 4 2 4𝑥𝑥 + 2𝑥𝑥+1 + 11 = 2𝑥𝑥 + 1 7. 𝑥𝑥 =. 2 ± √2 2. 𝑥𝑥 = 0 ∪ 𝑥𝑥 = 2. equazioni esponenziali con basi diverse risolubili mediante logaritmi. 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82. v 3.0. 3 𝑙𝑙𝑙𝑙 5 𝑙𝑙𝑙𝑙 3 − 𝑙𝑙𝑙𝑙 5. 3𝑥𝑥 = 53(𝑥𝑥+1). 𝑥𝑥 =. 52𝑥𝑥 =3 7𝑥𝑥. 𝑥𝑥 = −. 3𝑥𝑥 = 5𝑥𝑥−2. 𝑥𝑥 =. 20 ∙ 7𝑥𝑥 − 3 ∙ 2𝑥𝑥 = 4 ∙ 7𝑥𝑥 + 2𝑥𝑥. 2 𝑙𝑙𝑙𝑙 5 𝑙𝑙𝑙𝑙 5 − 𝑙𝑙𝑙𝑙 3. 𝑙𝑙𝑙𝑙 3 𝑙𝑙𝑙𝑙 7 − 𝑙𝑙𝑙𝑙 25. 𝑥𝑥 = −2. 10𝑥𝑥 +3 − 2𝑥𝑥+4 = 10𝑥𝑥 +2 − 2𝑥𝑥. 𝑥𝑥 = −. 2𝑥𝑥 ∙ 3𝑥𝑥 = 10. 𝑥𝑥 =. 25𝑥𝑥 ∙ 7𝑥𝑥−1 = 2. 𝑥𝑥 =. 3 𝑥𝑥 2 ∙ 5 + 7 ∙ 3𝑥𝑥 = ∙ 5𝑥𝑥 + 10 ∙ 3𝑥𝑥 4 3. 𝑥𝑥 =. 32𝑥𝑥−1 + 32𝑥𝑥−1 = 2 ∙ 52𝑥𝑥 −1. 𝑥𝑥 =. 3 ∙ 7𝑥𝑥 + 4 ∙ 3𝑥𝑥 = 7𝑥𝑥 + 10 ∙ 3𝑥𝑥. 𝑥𝑥 =. 𝑙𝑙𝑙𝑙 2 𝑙𝑙𝑙𝑙 7 − 𝑙𝑙𝑙𝑙 2. 𝑙𝑙𝑙𝑙 60 𝑙𝑙𝑙𝑙 5. 1 𝑙𝑙𝑙𝑙𝑙𝑙10 6 𝑙𝑙𝑙𝑙 14 𝑙𝑙𝑙𝑙 175. 2 𝑙𝑙𝑙𝑙 6 𝑙𝑙𝑙𝑙 5 − 𝑙𝑙𝑙𝑙 3 1 2. 𝑙𝑙𝑙𝑙 6 − 𝑙𝑙𝑙𝑙 2 𝑙𝑙𝑙𝑙 7 − 𝑙𝑙𝑙𝑙 3. 𝑙𝑙𝑙𝑙 3 − 𝑙𝑙𝑙𝑙 2 𝑙𝑙𝑙𝑙 5 − 𝑙𝑙𝑙𝑙 2. 5𝑥𝑥+1 + 2𝑥𝑥 +1 = 3 ∙ 5𝑥𝑥 + 5 ∙ 2𝑥𝑥. 𝑥𝑥 =. 3𝑥𝑥 − 4 = 0. 𝑥𝑥 = 𝑙𝑙𝑙𝑙𝑙𝑙3 4. 2. 3𝑥𝑥−1 = 53(𝑥𝑥 +1). 𝑥𝑥 = ±. 𝑥𝑥. √3 𝑙𝑙𝑙𝑙 1125 � 3 𝑙𝑙𝑙𝑙 5. 𝑥𝑥 = 2 𝑙𝑙𝑙𝑙𝑙𝑙2 3. 22 − 3 = 0. 1 4𝑥𝑥 3� � = 2 3. 𝑥𝑥 = © 2016 - www.matematika.it. 1 − 𝑙𝑙𝑙𝑙𝑙𝑙3 2 4 4 di 7.

(5) Equazioni esponenziali. Logaritmi. 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100. 𝑥𝑥+1 2. 5. 𝑥𝑥 = 2 𝑙𝑙𝑙𝑙𝑙𝑙5 4 − 1. −4=0. 3 3𝑥𝑥 � � =2 4. 𝑥𝑥 =. 72𝑥𝑥−1 − 142𝑥𝑥 = 0. 𝑥𝑥 = −. 2𝑥𝑥+1 = 3𝑥𝑥. 𝑥𝑥 =. 32𝑥𝑥 = 5 ∙ 2𝑥𝑥. 𝑥𝑥 =. 53𝑥𝑥+1 − 2 ∙ 3𝑥𝑥 = 0. 𝑥𝑥 =. 7 ∙ 2𝑥𝑥−1 + 2𝑥𝑥 = 3𝑥𝑥 − 7 ∙ 3𝑥𝑥+1 𝑥𝑥. 𝑙𝑙𝑙𝑙 7 𝑙𝑙𝑙𝑙 4. 𝑙𝑙𝑙𝑙 5 𝑙𝑙𝑙𝑙 9 − 𝑙𝑙𝑙𝑙 2. 𝑙𝑙𝑙𝑙 2 − 𝑙𝑙𝑙𝑙 5 𝑙𝑙𝑙𝑙 125 − 𝑙𝑙𝑙𝑙 3. 𝑥𝑥 = −. 3 𝑥𝑥+1 � � = 2𝑥𝑥 2 1 𝑥𝑥 32𝑥𝑥 � � = 7 2. 𝑥𝑥 = 𝑥𝑥 =. 𝑥𝑥. 42 + 42𝑥𝑥 = 9𝑥𝑥+1 + 2𝑥𝑥. 𝑥𝑥 =. 2 −𝑥𝑥+1 � � =3 3 1 21−𝑥𝑥 = 3 √5. 𝑙𝑙𝑙𝑙 2 𝑙𝑙𝑙𝑙 3. 𝑙𝑙𝑙𝑙 3 − 𝑙𝑙𝑙𝑙 2 𝑙𝑙𝑙𝑙 4 − 𝑙𝑙𝑙𝑙 3 𝑙𝑙𝑙𝑙 7 𝑙𝑙𝑙𝑙 9 − 𝑙𝑙𝑙𝑙 2. 𝑙𝑙𝑙𝑙 9 𝑙𝑙𝑙𝑙 16 − 𝑙𝑙𝑙𝑙 9. 𝑥𝑥 = 1 − 𝑥𝑥 = 1 +. 3𝑥𝑥+1 = 7𝑥𝑥 4−𝑥𝑥 2 22𝑥𝑥−3 3𝑥𝑥 = 43𝑥𝑥 2 √3𝑥𝑥+1. 𝑙𝑙𝑙𝑙 2 𝑙𝑙𝑙𝑙 3 − 𝑙𝑙𝑙𝑙 2. 𝑥𝑥 = 𝑙𝑙𝑙𝑙𝑙𝑙5 3. 2 + 42 = 3−𝑥𝑥 + 2𝑥𝑥. √2𝑥𝑥. 4. 3. 𝑖𝑖𝑖𝑖𝑖𝑖𝑖𝑖𝑖𝑖𝑖𝑖𝑖𝑖𝑖𝑖𝑖𝑖𝑖𝑖𝑖𝑖. 1 −𝑥𝑥 � � = 10𝑥𝑥 − 2𝑥𝑥+1 2. 3. 𝑙𝑙𝑙𝑙𝑙𝑙3 2. 𝑥𝑥 =. 3(2𝑥𝑥 + 1)2 − 2(22𝑥𝑥 − 1) = 5(2𝑥𝑥 − 1)2. 𝑙𝑙𝑙𝑙 5 3 𝑙𝑙𝑙𝑙 2. 𝑙𝑙𝑙𝑙 3 − 𝑙𝑙𝑙𝑙 2 𝑙𝑙𝑙𝑙 7 − 𝑙𝑙𝑙𝑙 12. 𝑥𝑥 = −. =7. 𝑙𝑙𝑙𝑙 3 𝑙𝑙𝑙𝑙 2 − 𝑙𝑙𝑙𝑙 3. 𝑥𝑥 = − 𝑥𝑥 = 2. 𝑙𝑙𝑙𝑙 4 𝑙𝑙𝑙𝑙 48. 3 𝑙𝑙𝑙𝑙 147 𝑙𝑙𝑙𝑙 27 − 𝑙𝑙𝑙𝑙 4. equazioni esponenziali di riepilogo. 1 √25 = � � 5. 𝑥𝑥−4. 101. 𝑥𝑥. 102. 25𝑥𝑥 ∙ 4𝑥𝑥 = 1. v 3.0. 𝑥𝑥 = 2 ± √2 𝑥𝑥 = 0 © 2016 - www.matematika.it. 5 di 7.

(6) Equazioni esponenziali. Logaritmi. 103. 4𝑥𝑥. 104. 34−𝑥𝑥 = �813𝑥𝑥 −1 ∙ 27𝑥𝑥. 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 v 3.0. 3𝑥𝑥. �32−𝑥𝑥 = �24𝑥𝑥 −1. 𝑥𝑥 =. 5. 𝑥𝑥 =. 5 − 5𝑥𝑥 5 + 5𝑥𝑥 10 − 𝑥𝑥 =− 𝑥𝑥 5+5 5 −5 3. 𝑥𝑥 =. 𝑥𝑥. 𝑎𝑎 𝑥𝑥−3 = �𝑎𝑎10. 𝑥𝑥 =. 5 𝑥𝑥 52𝑥𝑥−1 3 = 3 𝑥𝑥 3 5 (2𝑥𝑥 + 5)2 − 5 = 2𝑥𝑥 (2𝑥𝑥 − 4) 5 2 −7𝑥𝑥+12. 2𝑥𝑥+2. 10 𝑥𝑥 3𝑥𝑥 �√𝑎𝑎�. 𝑥𝑥−1. = (𝑎𝑎−1 )𝑥𝑥. 𝑙𝑙𝑙𝑙 2 𝑙𝑙𝑙𝑙 8 − 2 𝑙𝑙𝑙𝑙 5. 𝑥𝑥 = 𝑙𝑙𝑙𝑙𝑙𝑙2. 15 2. 𝑥𝑥 = 3 ∪ 𝑥𝑥 = 4 𝑥𝑥 =. 1 ± �1 + 𝑙𝑙𝑙𝑙𝑙𝑙 9 𝑙𝑙𝑙𝑙𝑙𝑙 3. 1 𝑥𝑥 = − ∪ 𝑥𝑥 = 1 2. 2 −𝑥𝑥. 34𝑥𝑥+2 − 37 ∙ 32𝑥𝑥 + 4 = 0. 𝑥𝑥 = −1 ∪ 𝑥𝑥 =. 102√𝑥𝑥−1 ∙ 0.1√𝑥𝑥 = 4 31−2𝑥𝑥 −. 1 𝑙𝑙𝑙𝑙𝑙𝑙 5. 𝑥𝑥 = 2. =1. =1. 6 5. 𝑥𝑥 = −2 ∪ 𝑥𝑥 = 5. 23𝑥𝑥+1 + 52𝑥𝑥+1 = 23𝑥𝑥+2 + 52𝑥𝑥. 5𝑥𝑥. 2 𝑙𝑙𝑙𝑙 108 3 𝑙𝑙𝑙𝑙 3 + 16 𝑙𝑙𝑙𝑙 2. 𝑥𝑥 = (1 + 𝑙𝑙𝑙𝑙𝑙𝑙4)2. 13 = 3𝑥𝑥+1 − 13 3𝑥𝑥. 𝑥𝑥 = 0 ∪ 𝑥𝑥 = ±1. 5√3𝑥𝑥+10 = 54 5𝑥𝑥. 𝑥𝑥 = −3 ∪ 𝑥𝑥 = −2. 25√𝑥𝑥+1 = 5√2𝑥𝑥−5. 𝑖𝑖𝑖𝑖𝑖𝑖𝑖𝑖𝑖𝑖𝑖𝑖𝑖𝑖𝑖𝑖𝑖𝑖𝑖𝑖𝑖𝑖. 3𝑥𝑥 + 3 2 3𝑥𝑥 + 3 � 𝑥𝑥 � − 5 � 𝑥𝑥 �=0 3 −4 3 −4. 𝑥𝑥 =. 𝑒𝑒. 𝑥𝑥−1 𝑥𝑥 2. 𝑥𝑥 = 1. =1. 31−𝑥𝑥 = 16 𝑥𝑥+4. 21−𝑥𝑥 =. 𝑙𝑙𝑙𝑙 23 − 𝑙𝑙𝑙𝑙 4 𝑙𝑙𝑙𝑙 3. 𝑥𝑥 = 1 − 𝑙𝑙𝑙𝑙𝑙𝑙3 16. 1 4. 1𝑥𝑥+3 − 4 ∙ 64𝑥𝑥 = 0 2 1 22𝑥𝑥−1 ∙ 3𝑥𝑥 = 2 ∙ 3𝑥𝑥. 𝑙𝑙𝑙𝑙 2 𝑙𝑙𝑙𝑙 3. 𝑥𝑥 = 6 𝑥𝑥 = − 𝑥𝑥 = 0 © 2016 - www.matematika.it. 5 7. 6 di 7.

(7) Equazioni esponenziali. Logaritmi. 124 125 126 127 128 129 130 131 132 133 134. 32𝑥𝑥 − 32𝑥𝑥 +3 + 9𝑥𝑥 +2 = 165. 1 −𝑥𝑥 1 �� − 16� �7𝑥𝑥 − � = 0 4 49 𝑥𝑥−2 3. 4 � � 5 3. � √5�. 2𝑥𝑥+1. 1 2𝑥𝑥 � � 2. 2 −3. 𝑥𝑥 = 0 𝑥𝑥 =. (7 − 49𝑥𝑥 −1 )�√3 − 92𝑥𝑥−1 � = 0. 𝑥𝑥 =. 1 + 23𝑥𝑥−1 =2 1 2𝑥𝑥 + 2. 5 2. 3 5 ∪ 𝑥𝑥 = 2 8. 𝑥𝑥 = 1 1 4. 𝑎𝑎2𝑥𝑥 − √𝑎𝑎 = 0. 𝑥𝑥 =. 𝑎𝑎 𝑥𝑥 (1 − 𝑎𝑎3𝑥𝑥+4 ) = 0. 𝑥𝑥 = −. 𝑎𝑎. 3𝑥𝑥−1 2𝑥𝑥. −. 1 =0 𝑎𝑎2. 4𝑥𝑥 2 −4𝑥𝑥+1 2𝑥𝑥. � �𝑎𝑎−2𝑥𝑥 −. 137. (92𝑥𝑥. v 3.0. 1 2. 𝑥𝑥 = 4. = 125. 2𝑥𝑥+3 1 2 �23𝑥𝑥 − � �3 4 − 9� = 0 4. 136. 140. 𝑥𝑥 =. −8=0. �𝑎𝑎. 139. 1 2. 𝑥𝑥 = ±2. 5 −� =0 4. 135. 138. 𝑥𝑥 =. 3. 𝑥𝑥 =. 1 2 − 1� � − 𝑎𝑎2𝑥𝑥 � = 0 𝑎𝑎. 𝑥𝑥 =. 1 1 1 � � 3 − 2𝑥𝑥 2 +1 � = 0 2𝑥𝑥 𝑎𝑎 𝑎𝑎 𝑎𝑎 𝑥𝑥. 92𝑥𝑥 − 12 ∙ 32𝑥𝑥 + 27. 4𝑥𝑥+2 − 2 ∙ 4𝑥𝑥+1 = 16𝑥𝑥 +1 2. 𝑥𝑥 = −4 ∪ 𝑥𝑥 = −2 1 ∪ 𝑥𝑥 = 4. 1 3𝑥𝑥−1 2−� � 5. 𝑥𝑥 = −2 ∪ 𝑥𝑥 = −. =0. 1 3𝑥𝑥−1 1 3� � − 4� � 5 5 = 2. 1 2. 4 3. 𝑥𝑥 = 0 ∪ 𝑥𝑥 = ±1. 1 𝑥𝑥 1 2 − 3) �� − 6 ∙ � � + 8� = 0 2 2. 1 𝑥𝑥+1 1 𝑥𝑥 √3 �3𝑥𝑥 − 3 � ��4� − �2� �. 1 7. 1 2. 𝑥𝑥 = −1 3𝑥𝑥−1 2. +3. © 2016 - www.matematika.it. 𝑥𝑥 =. 1 3. 7 di 7.

(8)