If `3^(x+1)=9^(x-2),` find the value of `2^(1+x)`

Explanation

To solve the equation \(3^{(x+1)} = 9^{(x-2)}\) and find the value of \(2^{(1+x)}\), we can follow these steps:

### Step 1: Rewrite the equation
We start with the equation:
\[ 3^{(x+1)} = 9^{(x-2)} \]
We know that \(9\) can be expressed as \(3^2\). Therefore, we can rewrite \(9^{(x-2)}\) as:
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