Respuesta :

Answer:

b. -16.7410

Explanation:

The change of base rule says that:

[tex]\log _ab=\frac{\log _{}a}{\log \text{ b}}[/tex]

Where log is logarithm in base 10. So, we can rewrite the initial expression as:

[tex]\log _90.877=\frac{\log 9}{\log \text{ 0.877}}[/tex]

So, using the calculator, we get:

[tex]\log _90.877=\frac{0.9542}{-0.057}=-16.7410[/tex]

Therefore, the answer is b. -16.7410