Find the value of `x ,` if `5^(x-3)\xx\ 3^(2x-8)=225`

Explanation

To solve the equation \( 5^{(x-3)} \cdot 3^{(2x-8)} = 225 \), we will follow these steps:

### Step 1: Rewrite the right side of the equation
We know that \( 225 \) can be expressed as \( 15^2 \). Since \( 15 = 5 \cdot 3 \), we can write:
\[ 225 = (5 \cdot 3)^2 = 5^2 \cdot 3^2 \]

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