Modify Quantity Log For Free

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The real deal is that you cannot take the log (or LN) of a number that actually has units, i.e., before the log (or LN) is applied, the unit must be dimensionless. You may be familiar with the concept of making quantities that otherwise have units, unitless, as being referred to as activities in chemistry.
”Since logarithm is the inverse of the exponent, it MUST work for units also.” Nope. When you take the log of a number (base e, base 10, base 43.538, base) the units cancel and the log is a unitless quantity. If you then use a power function you can not recover the units.
The real deal is that you cannot take the log (or LN) of a number that actually has units, i.e., before the log (or LN) is applied, the unit must be dimensionless. You may be familiar with the concept of making quantities that otherwise have units, unitless, as being referred to as activities in chemistry.
The units of a LN(p) would generally be referred to as “log Pa” or “log ATM.” Taking the logarithm doesn't actually change the dimension of the argument at all -- the logarithm of pressure is still pressure -- but it does change the numerical value, and thus “Pa” and “log Pa” should be considered different units.
There are two main reasons to use logarithmic scales in charts and graphs. The first is to respond to skewness towards large values. i.e., cases in which one or a few points are much larger than the bulk of the data. The second is to show percent change or multiplicative factors.
Usually log(x) means the base 10 logarithms. It can, also be written as log10(x). Ln(x) means the base e logarithm. It can, also be written as loge(x). Ln(x) tells you what power you must raise e to obtain the number x. ex is its inverse.
Answer and Explanation: No, log10 (x) is not the same as LN(x), although both of these are special logarithms that show up more often in the study of mathematics than any
Difference between Common Log and Natural Log The Logarithm of a number is the exponent by which another fixed value the base has to be raised to produce that number. The natural log of e itself (LN(e)) is 1because e1=e, while the natural logarithm of 1 (LN(1)) is 0, since e0=1.
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