If `(3x)^(2)=81`, which of the following is a possible value of x?

Options

A. `2`
B. `3`
C. `6`
D. `9`

Answer

To solve the equation \( (3x)^2 = 81 \), we can follow these steps:

### Step 1: Rewrite the equation
Start with the original equation:
\[ (3x)^2 = 81 \]

### Step 2: Take the square root of both sides
To eliminate the square, take the square root of both sides:
\[ 3x = \pm \sqrt{81} \]

### Step 3: Simplify the square root
Calculate the square root of 81:
\[ 3x = \pm 9 \]

### Step 4: Solve for \( x \)
Now, divide both sides by 3 to isolate \( x \):
\[ x = \frac{9}{3} \quad \text{or} \quad x = \frac{-9}{3} \]
This simplifies to:
\[ x = 3 \quad \text{or} \quad x = -3 \]

### Conclusion
The possible values of \( x \) are \( 3 \) and \( -3 \). Among the options provided, the value \( 3 \) is present.

### Final Answer
Thus, the possible value of \( x \) is:
\[ \boxed{3} \]