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View Poll Results: What is log(10)
2.3025 9 16.67%
1 43 79.63%
42 2 3.70%
Voters: 54. You may not vote on this poll

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  #71  
Old 05-01-2018, 11:58 PM
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  #72  
Old 05-02-2018, 12:07 AM
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Originally Posted by Vorian Atreides View Post
While true, there is a pedagogical difference to understanding the log function using something already familiar to the student. (See below.)

Consider that most students familiar with exponents will catch on to the following very easily (and naturally):

log10(x) = y <==> 10^y = x

And most will also see the connections to other bases and quickly extrapolate the general nature of the log function:

log2(x) = y <==> 2^y = x

However, e isn't a number that students will find a meaningful value for in and of itself. Continuous compounding might be the closest thing one might get to something "natural" that students would start to grasp the value of this number (much like a "natural" connection of pi to two familiar quantities of a circle). But outside of that, it takes quite some time to get students to connect to the usefulness of ln(x) for many problems until they do get to calculus.

But the earlier concepts I showed will help the student make the better connection to the power of e and ln(x) for addressing most problems in science and finance.
I agree that log-10 is a useful way to explain the concept to children, but it is almost worthless for everything else, which is why "log" is best assumed to be the natural log.

Or I think the oneous is on you to show why we should assume log is base 10 rather than base 2 or base 5 or base 100.
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  #73  
Old 05-02-2018, 12:18 AM
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I agree that log-10 is a useful way to explain the concept to children, but it is almost worthless for everything else,
If you had to use logarithms to multiply large numbers, which is what they were originally used for, it is much easier in base 10.
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  #74  
Old 05-02-2018, 01:53 AM
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If you had to use logarithms to multiply large numbers, which is what they were originally used for, it is much easier in base 10.


for really large or really small numbers log base 10 is actually useful.
not sure why we can't use ln for log base e.
seems like a math vs. science made-up controversy.
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  #75  
Old 05-02-2018, 10:27 AM
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Originally Posted by pete5383 View Post
I agree that log-10 is a useful way to explain the concept to children and the mathematically challenged, but it is almost worthless for everything else, which is why "log" is best assumed to be the natural log.

Or I think the oneous is on you to show why we should assume log is base 10 rather than base 2 or base 5 or base 100.
IFYP, but I do not disagree with anything here . . .

However, I was responding to why even teach log10(x). And until students get a good handle on the exponential function, ln(x) won't have much meaning to them.
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  #76  
Old 05-02-2018, 10:35 AM
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How do you interpret the above notation?

I rounded wrong in the poll, should be 2.3026, but you get the point.
What program are we using? Depending on which one is being use it could be 1 or 2.3026.
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