Applying the change of base property, it is found that the correct option is:
The general rule for the change of base property is:
[tex]\log_{a}{b} = \frac{\log_{c}{b}}{\log_{c}{a}}[/tex]
In this problem, considering the change to base 10:
[tex]\log_{7}{0.517} = \frac{\log_{10}{0.517}}{\log_{10}{7}} = -\frac{0.2865}{0.8451} = -0.339[/tex]
Hence option 2 is correct.
You can learn more about the change of base property at https://brainly.com/question/7434809
