5³ⁿ = 125 x 5ⁿ

Given: 5³ⁿ = 125 x 5ⁿ

To find: We have to find the value of n.

Solution: 

5³ⁿ = 125 x 5ⁿ

5³ⁿ = 5³ x 5ⁿ

5³ⁿ = 5^{3 + n} 

Now, comparing powers on both sides:

3n = 3 + n

3n - n = 3

2n = 3

n = 3/2

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Updated on: 10-Oct-2022

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