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Step-by-step explanation:
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Answer:
x = 5
Step-by-step explanation:
Equation is 3ˣ⁺¹ = 9ˣ⁻²
=> 3ˣ⁺¹ = (3²)ˣ⁻²
=> 3^(x + 1) = 3^[2(x - 2)]
=> 3^(x + 1) = 3^(2x - 4)
=> x + 1 = 2x - 4
=> x - 2x = -4 - 1
=> -x = -5
=> x = 5
Then,
2^(1 + x)
= 2^(1 + 5)
= 2^6
= 64
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