Question

Use the change of base formula to compute logo 4.

Round your answer to the nearest thousandth. Yea

Answer 1

`\log_(9)4\approx 0.631`

Explanation:

The change of base formula we can use is

`\log_(b)a=\frac{\log{a}}{\log{b}}`

Not all calculators will allow the user to directly enter the logarithms with a given base, so the change of base can be used for all calculators, which use the common log.

Common logs have a base of 10.

Let's convert your expression:

`\log_(9)4=(\log4)/(\log9)`

Using our calculator, we will compute log 4 divided by log 9:

`(\log4)/(\log9)\approx0.631`.