Question

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

Answer 1

b. -16.7410

Step-by-step explanation:

The change of base rule says that:

`\log _ab=\frac{\log _{}a}{\log \text{ b}}`

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

`\log _90.877=\frac{\log 9}{\log \text{ 0.877}}`

So, using the calculator, we get:

`\log _90.877=(0.9542)/(-0.057)=-16.7410`

Therefore, the answer is b. -16.7410