Respuesta :

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