Question

How do you use the Change of Base Formula and a calculator to evaluate the logarithm `log_3 10.741`?

Answer 1

I found: `2.16097`

Explanation:

Given a log in base `b` of a certain number `a` you can change it into the new base `c` as:
`log_ba=(log_ca)/(log_cb)`
A convenient base we can use in our case is `e`, to get natural logs indicated as `ln` and that can be evaluated using a pocket calculator. So we get:
`log_3(10.741)=(ln(10.741))/(ln(3))=2.16097`