Question

use the change of base formula to evaluate the expression log3 30

Answer 1

is that \(\large log_330 \) ???

Answer 2

yesh

Answer 3

\[\log_3 30 = \log_3 (10 \times 3) = \log_3 10 + \log_3 3 = {\log_{10} 10 \over \log_{10}} + 1 = {1 \over \log_{10} 3 } +1 \]

Answer 4

Second last step should be:

\[{\log_{10} 10 \over \log_{10} 3} + 1\]