Using Logarithms in the Real World

logerthems are very tuff

Thanks, Kalid! :slight_smile:
Very helpful information for my project :smiley:

awesome,…
helpfull man,…
thanx for share

Thank you so much, this was very useful.

Richter’s scale does NOT end at 10, but there just have never been any earthquake with higher magnitude. (I think that even magnitude 10 was not reached.)

@Ondřej: Good clarification, updated the post.

Hm

Hi Kalid!

So far, your explanations have been helping me out the best I’ve always struggled with math and I can’t even begin to tell you how grateful I am for this site.

I have a “blurry” idea of how logs find the input of growth vs the output, but I think if I read if over again a few more times it should become a little clearer. My biggest struggle right now though is looking at log-transformations in terms of normal distributions/bell curves. On the graph you show here the x axis is time/years but on the graphs I usually see there are negative and positive numbers. I read your other article about how a ln(fraction) is negative because it is the amount of time for something to halve when the model assumes growing forward, but is it the same for logs?

Aha!

Many thanks for this

Thanks for the real explanation. I think this is the way our teachers should teach us.

Too good Kalid. I now understand the importance of Log in real life better. Will be easier to teach my kids.

Hi Ben, thanks for the feedback! I reworded that section.

Love these articles and the intuitive explanations they give, but a bit of criticism on the computer memory section. 16 extra bits of memory is just that, 16 extra bits. When someone says they’ve moved from a 16 bit to a 32 bit system, they’re typically referring to word length (so length of instructions and data, well in a Von Neumann system anyways). What this means is that addresses are now 16 bits longer, so you can refer to 65536 times as many places in memory (each of which most likely contains a word itself, hence the whole 4GB RAM limit you used to see on 32 bit OSes).

What you should instead refer to is the number of possible values a 16 bit number can assume vs a 32 bit number. (And you could do this visually using smaller numbers, like 2 and 3 bits).

You probably understand this, but I think the section could use some rewording for clarity, particularly the last sentence.

Actually thinking about it a bit more, the 4GB would imply the memory is byte and not word addressable (~4 billion addresses (2^32), each 1 byte = 4GB).

Thanks for the post, it was really helpful =)