Evaluate the following logarithmic expression. Round off your answer to two decimal places

Given:
[tex]\log _{\frac{1}{5}}\left(0.174\right)[/tex]Apply the properties of logarithms:
[tex]=-\log_5\left(0.174\right)[/tex]Solve:
[tex]=-(-1.08652)=1.08652[/tex]Round to two decimal places 1.09
Answer: 1.09