10 thoughts on “Logs – 10”

1. Harsh |

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!

2. 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

3. Harsh |

Thanks a lot!

4. 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!

5. 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?

6. 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™‚