Vary point in LOG

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Aug 6th, 2022
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How to vary point in LOG

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in this video Iamp;#39;m going to teach you how to read a log graph so letamp;#39;s start by looking at how this scale works which is the key to understanding how to read a log graph and the first things to notice about this scale is itamp;#39;s not going up an equal amount itamp;#39;s in fact going up in powers of 10 and that the divisions are not equally spaced if you look at where the 0.1 is to the next division itamp;#39;s really spread out but if you look where the one is just before it the divisions are really close together so something strange is happening there and Iamp;#39;ll show you how you can deal with that letamp;#39;s look at the basic idea which is that it goes up in powers of 10. so at the start weamp;#39;ve got 10 to the power -1 which is 0.1 then itamp;#39;s going 10 to the power 0 which is 1 then 10 to the power 1 which is 10 10 to the power 2 which is 100 then it would of course go 10 to power 3 which is a thousand tenth power four is ten thousand so ita

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Logarithms can be used to solve exponential equations and to explore the properties of exponential functions. They will also become extremely valuable in calculus, where they will be used to calculate the slope of certain functions and the area bounded by certain curves.
A log price scale shows proportional changes in price. For example, a price change from $20 to $40 would be the same change on a log price scale as a price change from $40 to $80, as they both are doubling in price.
Turn the variable inside the log into an exponential equation (which is all about the base, of course). For example, to solve log3 x = 4, change it to the exponential equation 34 = x, or 1/81 = x. Keep in mind that because logs dont have negative bases, you throw the negative one out the window and say x = 4 only.
0:16 2:38 You can type it in your calculator as log 16 divided by log 2.. Now when you type it in yourMoreYou can type it in your calculator as log 16 divided by log 2.. Now when you type it in your calculator like this its automatically going to make it base 10.. So regardless of whatever the new base.
Logarithmic Price Change = ln P2 P! Reusing the previous example: the logarithmic price change would be ln (604/620)=-0.0261 or -2.61%. As we can see, both methods calculate roughly the same value for percentage change in price.
First difference of LOG = percentage change: When used in conjunction with differencing, logging converts absolute differences into relative (i.e., percentage) differences. Thus, the series DIFF(LOG(Y)) represents the percentage change in Y from period to period.
An alternative to using percent change is log differences. In this method, the logarithm of one quantity is subtracted from the logarithm of another quantity. The advantage of measuring change in this way is that the calculations are symmetrical going forward and backward.
To change the base of a log you will take either the log of the argument number divided by the log of the base number, or you will take the ln of the argument number divided by the ln of the base number.

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