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Product Law

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Question

Choose the correct answer from the alternative given.
If $a^{b}$ = $b^{a}$ and $a = 2 b$ then value of $b$ is

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Solution

Given that, a = 2b
then, $(2 b)^{b} = b^{2 b} o r (2 b)^{b} = (b^{2})^{b}$
On comparing the bases, we get
$2 b = b^{2}$
Hence, b= 2

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