Answer:
\(\log_414=\frac{\log_{3}14}{\log_{3}4}\)
Step-by-step explanation:
We have given \(log_4 14\) is given we need to convert it in logarithmic base 3
Using log base change property
\(\log_ab=\frac{\log_cb}{\log_ca}\)
So, here we have to change \(log_4 14\) using log base change property with base 3
where, a=4,b=14 and c=3
Substituting these values in log base change property and we get
Therefore, \(log_4 14=\frac{\log_{3}14}{\log_{3}4}\)
