If 5^x-3×3^2x-8= 225

Then, x=?

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Solution

5^x-3. 3^2x-8 = 225
= 3 × 75
= 3 × 3 × 25
= 3 × 3 × 5 × 5
∴ 5^x-3. 3^2x-8= 5² × 3²
Comparing both the sides we get
x − 3 = 2
⇒ x = 5 (You can compare even the other one also. The result will be same)

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