Solve for x \( 25(3)^{x}=2025 \) \( x= \)

To solve for \( x \) in the equation \( 25(3)^{x} = 2025 \), first, you can simplify the right side. Notice that \( 2025 = 25 \times 81 \), and since \( 81 = 3^4 \), you can rewrite \( 2025 \) as \( 25 \times (3^4) \). Now, substitute this into the equation: \[ 25(3)^{x} = 25(3^4) \] Next, you can cancel the \( 25 \) on both sides, yielding: \[ (3)^{x} = (3^4) \] From this, you can deduce that: \[ x = 4 \] So, the solution is \( x = 4 \).