Multiple choice

If log $x(\frac{5}{7}) = - \frac{1}{3}$, then the value of x is

  1. $\frac{343}{125}$
  2. $\frac{125}{343}$
  3. $\frac{-25}{49}$
  4. $\frac{-49}{25}$
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A Correct answer
Explanation

$log x \Big(\frac{5}{7}\Big) = - \frac{1}{3} \\ \Big(\frac{5}{7}\Big) = (x^{\frac{-1}{3}})$

Or, $x^{\frac{1}{3}}=(\frac{7}{5})$
Hence, x = $(\frac{7}{5})^3 = \frac{343}{125}$

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