Exercise 3.3.3 solution

  1. \(x = \log_5 25\) is equivalent to \(5^x = 25 = 5^2\), so \(x = 2\).
  2. \(x = \log_5 5 \) is equivalent to \(5^x = 5 = 5^1\), so \(x = 1\).
  3. \(x = \log_5\left( \frac{1}{5}\right) \) is equivalent to \(5^x = \frac{1}{5} = 5^{-1}\), so \(x = - 1\).