Answer:
[tex]\log_{9}4\approx 0.631[/tex]
Step-by-step explanation:
The change of base formula we can use is
[tex]\log_{b}a=\frac{\log{a}}{\log{b}}[/tex]
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:
[tex]\log_{9}4=\frac{\log4}{\log9}[/tex]
Using our calculator, we will compute log 4 divided by log 9:
[tex]\frac{\log4}{\log9}\approx0.631[/tex].
