Question

if 3^x=5^x-2,find x​

Answer 1

Step-by-step explanation:

5^x-3.  3^2x-8 = 225

                 = 3 × 75 

                 = 3 × 3 × 25 

                 = 3 × 3 × 5 × 5

∴ 5^x-3.  3^2x-8 = 5^2 × 3^2

Comparing both the sides we get

x − 3 = 2

⇒ x = 5

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