Question

find the value of x so that _ (3/4)^2x+3 = [(3/4)^3]^3​

Answer 1

Answer:

Step-by-step explanation:

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Answer 2

Answer:

3

Step-by-step explanation:

(3/4)²ˣ⁺³ = [(3/4)³]³

Identity : (aᵐ)ⁿ = aᵐ*ⁿ

→ (3/4)²ˣ⁺³ = (3/4)³*³

→ (3/4)²ˣ⁺³ = (3/4)⁹

On comparing both sides, we get

→ 2x + 3 = 9

→ 2x = 9 - 3

→ 2x = 6

→ x = 6/2

→ x = 3