don't know how to read the log chart

Thread Starter

sumalama

Joined Nov 19, 2014
4
Hello,

can anybody tell me how much value is the red line (point on x axis) is indicating in the figure attached?
its confusing me.

thanks
 

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jpanhalt

Joined Jan 18, 2008
11,087
It looks to me like the line is about half way between \( 1X10^{^{-4}}\) and \(2X10^{^{-4}}\) . Since on a log chart, half way is about 3, not 5 (i.e., 10^1/2 =3.16...), I would say the line is \(1.3X10^{^{-4}}\).

What is the "correct" answer?

John
 

jpanhalt

Joined Jan 18, 2008
11,087
I thought it was homework. The chart reads left to right, the value has to be less than 10^-3.

John

Edit: If you can find an old slide rule at a museum, you can see what I mean.
 
Last edited:

wayneh

Joined Sep 9, 2010
17,498
It looks to me like the line is about half way between \( 1X10^{^{-4}}\) and \(2X10^{^{-4}}\) . Since on a log chart, half way is about 3, not 5 (i.e., 10^1/2 =3.16...), I would say the line is \(1.3X10^{^{-4}}\).

What is the "correct" answer?
Your's is. One could quibble over the last significant figure, but I agree with your estimate.
 

jpanhalt

Joined Jan 18, 2008
11,087
Well, since the mark was in crayon, I didn't try to be too accurate. Besides, it is not often today that you can go back to your old Pickett skills.

In reality, my intent was to help the TS analyze the question.

John
 

MrChips

Joined Oct 2, 2009
30,806

So it is somewhere between 0.0001 and 0.001
The next mark to the right represents 0.0002
Hence it is somewhere between 0.0001 and 0.0002

Now look at a slide rule which uses a log scale:



The cursor is positioned halfway between 0.0001 and 0.0002
Hence I call it 0.0001414

Virtual Slide Rule
 
Last edited:

jpanhalt

Joined Jan 18, 2008
11,087
I must have been asleep earlier. The range to consider here is not 1 to 10, but rather 1 to 2. I agree the answer is 1.4142... for the half way point.
John
 
Last edited:

jpanhalt

Joined Jan 18, 2008
11,087
The value exactly halfway (as discussed above) between 1 and 2 is 2^1/2 . My earlier error was a brain lapse, and I was considering the range between 1 and 10.

John
 
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