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Question

If x13=2x64, what is the value of x that satisfies the equation?

A
5
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B
7
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C
8
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D
16
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Solution

The correct option is B 7
Given, (x1)3=(2x6)4.

By cross multiplying the denominators, we get,
4(x1)=3(2x6)
4x4=6x18 ...[By Distribution Law].

Transposing x terms to one side, we get,
6x4x=184
2x=14
2x2=142 ...[Dividing 5 on both sides]
x=7.

Hence, option B is correct.

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