Find the value of x in the following expression:[(52)x + 2andtimes; (5- x)4= (5)x andndash; 5]a)1b)2c)3d)4Correct answer is option 'C'. Can you explain this answer?

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Find the value of x in the following expression:

[(5²)^{x + 2} × (5^{- x})⁴ = (5)^{x – 5}]

a)
1
b)
2
c)
3
d)
4

Correct answer is option 'C'. Can you explain this answer?

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Find the value of x in the following expression:[(52)x + 2× (5- ...

Given,
⇒ (5²)^{x + 2} × (5^{- x})⁴ = (5)^{x – 5}
⇒ (5)^{(2x + 4 – 4x)} = (5)^{x – 5}
⇒ (5)^{(4 – 2x)} = (5)^{x – 5}
⇒ 4 – 2x = x – 5
∴ x = 3

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Find the value of x in the following expression:[(52)x + 2× (5- x)4= (5)x – 5]a)1b)2c)3d)4Correct answer is option 'C'. Can you explain this answer?

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