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Question

Find the value of x if 8256=(x5)6


A

2

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B

8

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C

16

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D

4

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Solution

The correct option is A

2


We know that 8=23

82=(23)2=26 [(am)n=amn]

8256=2656=(25)6 [ambm=(ab)m]

Given that, 8256=(x5)6

(25)6=(x5)6

25=x5

x=2


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