Question

Write log4 14 as a logarithm of base 3.

Answer 1

Given any log base a with argument b that you are changing to log base d with argument b we have:
\[\log_a(b)=\frac{\log_d(b)}{\log_d(a)} \implies \log_4(14) = \frac{\log_3(14)}{\log_3(4)}\]