Question

heei
am nevoie de ajutor
va rog ! 10 p !!

Answer 1

b)

3²ⁿ⁻³ = 27⁷: 9²

3²ⁿ⁻³ = ( 3³)⁷ : ( 3²)² = 3²¹ : 3⁴ = 3⁽²¹⁻⁴⁾ = 3¹⁷

= > 2 n - 3 = 17

2 n = 17 + 3

2 n = 20

n = 20 : 2 = > n = 10

c) 5³ⁿ⁺¹ = 25¹¹ = ( 5²)¹¹ = 5²² = > 3 n + 1 = 22 = > n = 21 : 3 = 7

d) 7ⁿ⁺¹ : 7⁴ = ( 7²)⁶

7ⁿ⁺¹ = 7¹² x 7⁴ = 7⁽¹²⁺⁴⁾ = 7¹⁶

n + 1 = 16 = > n = 15

e) 10²ⁿ⁺¹ : 5²ⁿ⁺¹ = ( 2³)⁹

10²ⁿ⁺¹ = 2²⁷ x 5²ⁿ⁺¹

(2 x 5)²ⁿ⁺¹ = 2²⁷ x 5²ⁿ⁺¹

2²ⁿ⁺¹ x 5 ²ⁿ⁺¹ = 2²⁷ x 5²ⁿ⁺¹ l : 5²ⁿ⁺¹

2²ⁿ⁺¹ = 2²⁷ = > 2 n + 1 = 27 = > n = 26 : 2 = > n = 13