The value of the fifth root of $10^{10^{10}}$ is

  • A
    $10^{2 \times 10^9}$
  • B
    $10^{20 \times 10^9}$
  • C
    $10^{10^2}$
  • D
    $10^{2^{10}}$

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$4^x - 3^{x - \frac{1}{2}} = 3^{x + \frac{1}{2}} - 2^{2x - 1} \Rightarrow x = $

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