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

Explanation

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

### Step 1: Rewrite 225 in terms of its prime factors
We know that:
\[ 225 = 15 \times 15 = 15^2 \]
Now, we can express 15 in terms of its prime factors:
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