Evaluate the following logarithmic expression. Round off your answer to two decimal places. \[ \log _{\frac{1}{7}}(0.379) \]

Step 1 ：Apply the change of base formula: \(\log _{a}(c) = \frac{{\log _{b}(c)}}{{\log _{b}(a)}}\)

Step 2 ：Rewrite the expression as: \(\log _{\frac{1}{7}}(0.379) = \frac{{\log _{10}(0.379)}}{{\log _{10}(\frac{1}{7})}}\)

Step 3 ：Calculate the numerator: \(\log _{10}(0.379) \approx -0.42\)

Step 4 ：Calculate the denominator: \(\log _{10}(\frac{1}{7}) \approx -0.85\)

Step 5 ：Substitute the values into the change of base formula: \(\log _{\frac{1}{7}}(0.379) \approx \frac{{-0.42}}{{-0.85}}\)

Step 6 ：Simplify the fraction: \(\log _{\frac{1}{7}}(0.379) \approx 0.49\)

Step 7 ：Round off the value to two decimal places: \(\boxed{0.49}\)