Question

pls help!!!!
use the change-of-base formula to evaluate the experssion log base of 4 (24)?

Answer 1

\[log_4{24}={log_a{24}\over log_a{4} }\]

Answer 2

We have
\[\log_4 24\]
we know that \[\log_b a= \frac{\log_c a}{\log_c b}\]
Using that here, let's take the common base as 10
\[\log_4 24= \frac{\log_{10} 24}{\log_{10} 4}\]
Now check the log tables and find the value of log 24 and log 4

Answer 3

@Kissa15 did you understand?

Answer 4

yes i did.. soo you would always use log base of 10 for these type of problems

Answer 5

Yeah, here we have 24 and 4, that's why we have used base 10
If we had 32 and 4, we would have used 2 as the base. We could then easily solve it without using log tables.

Answer 6

that makes sooo much sense now. thank once again

Answer 7

Welcome:D