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If 25^x+1 = 125/5^x find the value of x

User Elwc
by
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1 Answer

3 votes
  • Answer:

x =1/3

  • Explanation:

25ˣ⁺¹ = 125/5ˣ

5²⁽ˣ⁺¹⁾ = 5³/5ˣ

5²⁽ˣ⁺¹⁾ = 5³ : 5ˣ

5²⁽ˣ⁺¹⁾ = 5³⁻ˣ

2(x + 1) = 3 - x

2x + 2 = 3 - x

2x + x = 3 - 2

3x = 1

x = 1/3

User Cazgp
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4.7k points