Use the change of base rule to find the logarithm to four decimal places

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