The number of roots of the equation $1 + 3^{x / 2} = 2^{x}$ is

0

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1

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2

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none of these

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Solution

The correct option is B $1$
$1 + 3^{x / 2} = 2^{x}$
Plotting graph of L.H.S and R.H.S we can see that both curve intersect only at $x = 2$
Hence there is only 1 solution.

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