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)

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 ðŸ™‚

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