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Question

If 9x+2=720+9x, find the value of (4x)1/x.

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Solution

9x+2=720+9x

9x×92=720+9x

9x×929x=720

9x(921)=720

9x×80=720

9x=91

As the bases are same, equating the powers

x=1

Therefore,

(4x)1/x=(4×1)=4

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