b)
3 ² ⁿ ⁻ ³ = 27⁷:9² = ( 3³)⁷ : ( 3²)² = 3 ²¹ : 3 ⁴ = 3⁽²¹⁻⁴⁾ = 3¹⁷
2 n - 3 = 17
2 n = 17 + 3
2 n = 20
n = 10
c)
5 ³ ⁿ ⁺ ¹ = 25 ¹¹ = ( 5²)¹¹ = 5²²
3 n + 1 = 22
3 n = 22 - 1
3 n = 21
m = 21 : 3
n = 7
d)
7ⁿ⁺¹ : 7⁴ = (49²)³
7ⁿ⁺¹⁻⁴ = ( 7⁴)³ = 7¹²
n + 1 - 4 = 12
n = 12 + 3
n = 15
e) 10²ⁿ⁺¹ : 5²ⁿ⁺¹ = 8⁹
( 2 x 5)²ⁿ⁺¹ :5²ⁿ⁺¹ = (2³)⁹
2²ⁿ⁺¹ x 5 ²ⁿ⁺¹ : 5²ⁿ⁺¹ = 2 ²⁷
2²ⁿ⁺¹ = 2²⁷
2 n + 1 = 27
2 n = 26
n = 13
