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Harlamova29_29 [7]
2 years ago
12

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

Mathematics
1 answer:
storchak [24]2 years ago
8 0
  • Answer:

<em>x =1/3</em>

  • Step-by-step explanation:

<em>25ˣ⁺¹ = 125/5ˣ</em>

<em>5²⁽ˣ⁺¹⁾ = 5³/5ˣ</em>

<em>5²⁽ˣ⁺¹⁾ = 5³ : 5ˣ</em>

<em>5²⁽ˣ⁺¹⁾ = 5³⁻ˣ</em>

<em>2(x + 1) = 3 - x</em>

<em>2x + 2 = 3 - x</em>

<em>2x + x = 3 - 2</em>

<em>3x = 1</em>

<em>x = 1/3</em>

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