Find the value n if 5^2n+1÷25=125
Answers
Answered by
3
Answer:
2
Step-by-step explanation:
5^2n-1÷25 = 5^2n-1÷5^2
=5^2n-1
=125 (given )
=5^3
as bases are same. compare powers
therefore. 2n-1=3
2n=4
n = 2
Answered by
5
Given : 5²ⁿ⁺¹ ÷ 25 = 125
To Find : Value of n
Solution:
5²ⁿ⁺¹ ÷ 25 = 125
Multiplying both sides by 25
=> 5²ⁿ⁺¹ = 25 x 125
25 = 5x 5 = 5²
125 = 5 x 5 x5 = 5³
=> 5²ⁿ⁺¹ = 5² x 5³
xᵃ * xᵇ = xᵃ⁺ᵇ
=> 5²ⁿ⁺¹ = 5²⁺³
=> 5²ⁿ⁺¹ = 5⁵
Equating powers
2n + 1 = 5
=> 2n = 4
=> n = 2
Value of n = 2
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