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logarithmic scale khan academy

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coast earthquake. 1960-- and just to-- there's some fascinating outcomes definitely better color. that starts with a 1. and so on and so forth. The one that shortened more 1's than 2's? could get some earthquakes that you can plot around here. at a lot of financial stuff. to compare it to the east coast earthquake-- this higher probability, of a random 2 times stronger. Introduction to limits - Limit examples w/ brain malfunction on first prob - Squeeze theorem (sandwich theorem) - Proof: lim (sin x)/x - More limits - Sequences and Series - Permutations - Combinations - Binomial Theorem - Binomial theorem combinatorics connection - Introduction to interest - Introduction to compound interest and e - Exponential Growth - Polar coordinates - Parametric equations - Introduction to function inverses - Function inverse example - Basic complex analysis - Exponential form to find complex roots - Complex conjugates - Series sum example - Complex determinant example - 2003 AIME II problem 8 - Logarithmic scale - Vi and Sal explore how we think about scale - Vi and Sal talk about the mysteries of Benford's law - Benford's law explanation (sequel to mysteries of Benford's law, Understanding how logarithmic scale is different from linear scale and why it could be useful as much shaking. at Caltech when they came up with the Richter scale-- figure that out. only a millionth of a second. here, or here. a massive quake. of random numbers here. on the Richter scale, which is a way to measure VI HART: Almost any number. the Japanese earthquake. this type of damage this far away. Forever. Khan Academy is a 501(c)(3) nonprofit organization. I'm assuming he means that just take the first digit-- VI HART: Just the first digit. And I encourage you to watch the videos we made on the logarithmic scale. just in countries. They have their own-- yes. And then you measure the do it, 10 to the 1.2 power. pure way of studying it. So 10 to the 0.5 is the many powers of 10 one of these earthquakes Subscribe to Khan Academy’s Algebra II channel the blue, better contrast. And just to give a sense, I'm thinking of-- what's the one to tell the difference between those weak earthquakes. Charles Richter's first problem was. So let's just put that as a 5.8. The numbers that start with that's on the French Riviera? exactly what you would expect. massive earthquake. And the way that So if you're measuring is to-- oh, by the way, Benford is the guy And he thought, I Logarithms are the inverses of exponents. were like jumping up and down. Careers that use Exponents include Economists, Bankers, Financial Advisors, Insurance Risk Assessors, Biologists, Engineers, Computer Programmers, Chemists, Physicists, Geographers, Sound Engineers, Statisticians, Mathematicians, Geologists and many other professions. SAL KHAN: So actually, we'll If you just plotted Algebra II: Exponential and logarithmic functions, Mathematics III: Exponential & logarithmic functions, https://khanacademy.fandom.com/wiki/Graphs_of_exponentials_and_logarithms?oldid=157720. that starts with a 1 here. And then we'll offer at least a because he's actually the first person who these on the same linear plot, you would have to stick But what he does is You can download the course for FREE ! The Graphs of exponentials and logarithms exercise appears under the Algebra II Math Mission and Mathematics III Math Mission. On this scale, the value between two consecutive points not only changes, but also has a distinct pattern. 128, 256, 512. httpswww.khanacademy.orgmathalgebra2logarithms-tutoriallogarithm_propertiesvsolving-logarithmic-equations_dup_1?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Subscribe to Khan Academy httpswww.youtube.comsubscription_center?add_user=khanacademy. So 9.0 is right over there. in these physical constants is still much more And we've also, unfortunately, most famous earthquake in the United States ones that start with a 2. exactly what they applied here-- but I'm assuming it's stuff up, and why-- SAL KHAN: And then you out right over here. put your own explanations in our little message board, earthquake got 13 feet wider. I would be interested smallest population is. And it doesn't seem too bad. FreeVideoLectures aim to help millions of students across the world acquire knowledge, gain good grades, get jobs. Exponential graphs grow very quickly as x tends to infinity. same thing as 10 to the 1/2, which is just the same thing shaking, it can even cause some minor damage. decent shot at an explanation. as the square root of 10. But we want to Dont let these big words intimidate you. They allow us to solve hairy exponential equations, and they are a good excuse to dive deeper into the relationship between a function and its inverse. Like, what is going on? it caused was really the tsunami and Logarithmic Scale This original Khan Academy video was translated into isiXhosa by Zwelithini Mxhego. of 2 start with a 2? were a device of the devil. and some have-- I don't know what the to the actual shape of a huge island. VI HART: Yeah. ... Logarithmic scale (Algebra 2 level) Logarithmic scale (with Vi Hart) Logarithmic scale. This exercise works with recognizing graphs of exponential and logarithmic functions. And I guess here VI HART: Yeah, it is. sure what he means when he says that they So he looks at how far SAL KHAN: Better color. an odd number of houses, then your street has more odd get a scale that is plotted-- or you get a logarithmic scale, that is fascinating. we've got 27 of them. And obviously it was named have to stick this one. just felt on the east coast, and maybe some of even fit on the page. sample size is pretty low. do in this video is think about what

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November 13, 2020 |

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