If you do enough acid/base practice questions, you eventually just gain intuition for it. Reading about it won't do anything for you. Maybe look for some worksheets online, or do some discrete questions in TPRH or EK.
There are two pages on logs and log applications in the BR acids and bases section. It takes the basics and builds into a series of easy to use shortcuts that are applied to a multiple choice format. All biases aside, it's really good.
There are two pages on logs and log applications in the BR acids and bases section. It takes the basics and builds into a series of easy to use shortcuts that are applied to a multiple choice format. All biases aside, it's really good.
I can attest to this, just went through this section a few days ago and it's the best way I've found of quickly approximating logs. Give it an honest 15 minutes of effort and you'll have it down.
The BR table and chem question sets definitely helps. But you really just need to remember 3 logs
log(2) = 0.3
log(3) = 0.48
log(7) = 0.85 (or how precise you want it).
The reason why you need to memorize these 3 is because the rest you can derive. Also these are primes that can't be derived from mult or division of numbers from 1-10.Then the others you can derive if necessary
e.g log(21) = log(3*7) = log(3) + log(7) ~ 1.33 (calc is 1.32 so not that far).
or if precision doesn't matter log(21) ~ log(20) = log(2*10) = log(2)+log(10) = 0.3 + 1 = 1.3 and a bit (yup TBR techniques)
or something like log(8) = log(2^3) = 3log(2) = 0.9.