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Question

If 32x2=263x, then the value of x is:

A
12
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B
14
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C
18
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D
2
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Solution

The correct option is C 2
Consider 32x2=263xand simplify it as follows:

32x2=263x32x×322=26×23x((2)5)x×((2)5)2=26×23x25x×210=26×23x25x×23x=26×21025x+3x=26+1028x=2168x=16x=2

Hence, x=2.

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