Question

9^x+2 = 720+9^x find (4x)

Answer 1

Answer:

Step-by-step explanation:

Answer 2

Step-by-step explanation:

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As per as the Question,Conditions will be---

9 ˣ ⁺ ² = 720 + 9 ˣ

We know,

Aⁿ ⁺ ¹ = Aⁿ × A¹

Thus, Applying this in the given equation,

9ˣ × 9² = 720 + 9ˣ

⇒ 9ˣ × 81 = 720 + 9ˣ

⇒ 9ˣ × 81 - 9ˣ = 720

⇒ 9ˣ ( 81 - 1) = 720

⇒ 9ˣ × 80 = 720

⇒ 9ˣ = 720/80

⇒ 9ˣ = 9¹

On Comparing,

x = 1

Thus,

(4x)^1/2 = [4(1)]¹⁾²

= (4)¹⁾²

= (2)² ˣ ¹⁾²

= 2.

Thus, the correct answer is 2.

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