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Logarithm, the exponent or power to which a base must be raised to yield a given number. Expressed mathematically, x is the logarithm of n to the base b if bx = n, in which case one writes x = logo n. For example, 23 = 8. Therefore, 3 is the logarithm of 8 to base 2, or 3 = log2 8.
Suggested clip How to Solve Logs on the Texas Instruments TI-30X IIS Calculator YouTubeStart of suggested client of suggested clip How to Solve Logs on the Texas Instruments TI-30X IIS Calculator
3:20 11:15 Suggested clip MCAT Math Vid 8 — Logarithms and Negative Logs in pH and PKA YouTubeStart of suggested client of suggested clip MCAT Math Vid 8 — Logarithms and Negative Logs in pH and PKA
In particular, the logarithm of a negative real number x can then be calculated as log(x)=log(|x|a)=log(|x|)+log(a)=log(|x|)+i. For all KZ. Therefore, the complex logarithm is only defined up to multiples of 2i ! Or maybe log(x)=log(|x|ei1772)=log(|x|)+log(ei1772)=log(|x|)i1772.
1:33 7:10 Suggested clip LN(-2), how can we have negative number inside natural logarithm YouTubeStart of suggested client of suggested clip LN(-2), how can we have negative number inside natural logarithm
A common technique for handling negative values is to add a constant value to the data prior to applying the log transform. The transformation is therefore log(Y+a) where an is the constant. Some people like to choose a so that min(Y+a) is a very small positive number (like 0.001). Others choose a so that min(Y+a) = 1.
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