Question

Use the change of base formula and your calculator to evaluate the logarithm below. Round to the nearest hundredth.

Answer 1

You have the following expression:

`\text{log}_419`

In order to calculate the previous expression, use the following property:

`\log _ab=(\log b)/(\log a)`

Then, for the given expression, you have:

`\log _419=(\log 19)/(\log 4)\approx2.12`

Hence, the result is approximately 2.12