Solve \( x \) \( x \sqrt{9}=243 \)

To solve for \( x \) in the equation \( x \sqrt{9} = 243 \), we first simplify \( \sqrt{9} \), which equals \( 3 \). This transforms our equation to: \[ x \cdot 3 = 243 \] Now, divide both sides by \( 3 \) to isolate \( x \): \[ x = \frac{243}{3} \] Calculating that gives: \[ x = 81 \] So, the solution is \( x = 81 \). Now, let’s spice it up with some fun facts! Did you know that \( 243 \) is actually \( 3^5 \)? That's right! When you break it down, you find that \( 243 \) is a power of \( 3 \), which nicely ties into our solution when we consider that both \( \sqrt{9} \) and the result heavily involve the number \( 3 \). Also, if you ever find yourself in a math jam, remember that checking your work can be a game changer! Just plug \( 81 \) back into the original equation: \[ 81 \cdot \sqrt{9} = 81 \cdot 3 = 243 \] Boom! You’ve confirmed your answer!