Hello Sir, could you please clear this silly doubt that I have, what is the value of logA*logB? I come across this a lot of times and haven’t been able to figure out if there’s any such rule of multiplication of logs!
Don’t have too much value-add to offer in that topic, but will think about it nonetheless. If something strikes me maybe will do a few posts in October (September is pretty much planned out)
CAT-holics 
Sir do we have any rule in solving log problems like this:
log(4)6= 1/2 log (2)6 just for example sake
where ( ) represents base
i mean converting bases.
Like we have rule log(a)b^c= c log(a)b but anything for the base conversion. Please explain!
Remember that log (b)a = log a / log b
So the given expression is
log 6 / log 4 = log 6 / 2 log 2 = 1/2 (log 6 / log 2 ) = 1/2 log (2) 6
You can make a standard formula out of this if you like! I prefer to just understand the logic and apply directly…
regards
J
Thanks a lot!
Hello Sir, could you please clear this silly doubt that I have, what is the value of logA*logB? I come across this a lot of times and haven’t been able to figure out if there’s any such rule of multiplication of logs!
No direct rule for that. Can write as log(B^logA) or log(A^logB) if that will help to solve the question. More often we do the reverse though.
regards
J
Reverse as in, converting from log(A^logB) to logA*logB?
Also Sir, could you please do a post on milk and water mixtures and profit/loss in it, if possible.
Don’t have too much value-add to offer in that topic, but will think about it nonetheless. If something strikes me maybe will do a few posts in October (September is pretty much planned out)
regards
J
Thank you so much Sir 🙂
Yes that often helps, especially in proving stuff. For example in this post https://cat100percentile.com/2014/04/29/logs-3/ I had used this logic to prove the first result.
regards
J