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Question

Find the value of x, if:

(12527)×(12527)x=(53)18

A
53
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B
5
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C
5×3×5
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D
35
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Solution

The correct option is B 5
(12527)×(12527)x=(53)18

(5333)×(5333)x=(53)18

(53)3×(53)3x=(53)18

⇒ 3 + 3x = 18 [Equating the powers of same base]
3x = 18 – 3 = 15
x = 5

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