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Question

If (4x)x=256, then the value of x is ___.


A
2
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B
16
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C
4
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D
2
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Solution

The correct option is B 4
Given, (4x)x=256.

We know that 256=44.

(4x)x=44

(4)x×x=44  ((am)n=amn)

 4x=44

Since bases are equal, their powers must also be equal. 
x=4

Mathematics

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