Slide formula in LOG smoothly

Aug 6th, 2022
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How to Slide formula in LOG

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go back slide roll fans the log-log scales are an interesting set of scales that allow you to compute arbitrary exponents and logs and solve all sorts of interesting problems involving exponential functions and a little while longer scales are interestingly invented by the same guy that in first wrote Rogers thesaurus go look that up lets look at the log log scale for positive base verse these are the ones without the zero so theyre the ones down here ll three two and one which is on the reverse of this slide roll these really form one nice long scale which could be continued in either direction sometimes youll see a ll 0 continuation in that direction on slide rolls with lots of logs okay the idea is these are one long scale see here 0.01 up through 1.1 and about 1.1 up through e and then e through e to the 10 on this end right before each of the 10 this tick mark represents 20,000 okay if you read from the LL scale to the D scale you read a natural log and if you read from the D

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Basic Logarithm Formula logb(xy)=ylogbx. logbmn=logbn1m. mlogb(x)+nlogb(y)=logb(xmyn)
In 1815, Peter Mark Roget invented the log log slide rule, which included a scale displaying the logarithm of the logarithm. This allowed the user to directly perform calculations involving roots and exponents. This was especially useful for fractional powers.
Slide rules can be used for multiplication and division, squares, cubes, square roots, cubes roots, trig functions, and exponentials and logarithms. For purposes of the 49ers slide rule competition, you only need to know how to use the slide rule to do multiplication, division, and square and cube roots.
0:45 5:09 Slide Rule - Logs - YouTube YouTube Start of suggested clip End of suggested clip So doubling something is usually equivalent to 3 DB which is 3 times or 10 times log of that number.MoreSo doubling something is usually equivalent to 3 DB which is 3 times or 10 times log of that number. So if I do log 2 or move the cursor over to 2.
In its most basic form, the slide rule uses two logarithmic scales to perform rapid multiplication and division of numbers. These common operations can be time-consuming and error-prone when done on paper.
The process of converting from exponential to log form is a simple process. The exponential form ax=N a x = N is converted to logarithmic form logaN=x l o g a N = x , and this simple formula is helpful to convert exponential to log form.
The scales (A-D) are labeled on the left-hand side of the slide rule. The number of scales on a slide rule vary depending on the number of mathematical functions the slide rule can perform. Multiplication and division are performed using the C and D scales. Square and square root are performed with the A and B scales.
A slide rule works by adding or subtracting the numerical exponents of numbers for multiplication or division, respectively. Thus, numbers to be multiplied or divided are converted to their logarithmic values and their exponents are added or subtracted.

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