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Logarithm of 1 to the base 1?
The logarithm of 1 to the base 1 is indeterminate. The logarithm of a number x to the base a is a number y, such that ay = x. The most common base a is 10, or the natural base a is e (2.718281828...). It is invalid to think of logarithms base 1, because 1 to the power of anything is still 1.
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You can use the change of base formula which is: log x b log a b= --------- log x a
the hydrogen ion conc=0.1
Assuming you are asking about the natural logarithms (base e): log (-1) = i x pi therefore log (log -1) = log (i x pi) = log i + log pi = (pi/2)i + log pi. which is ap…proximately 1.14472989 + 1.57079633 i
The natural base, e, 2.718281828..., was selected because the derivative d / dx e x is equal to x. This simplifies many calculations, derivatives, integrals, etc. Additiona…l: This base is used because there is a series (of terms) for powers of (e), therefore, powers of any value can be found just by plugging in values in the series.
Base 10 logarithms are called "common logarithms".
acording to me the value is 0 because the value of log 1 at any base is always 0.
The base 10 logarithm is called the "common logarithm". * * * * * It is also called the 'Briggsian logarithm', named after Henry Briggs, who introduced his table of loga…rithms on base 10 at Oxford in 1624, much to the joy of navigators, astronomers, and others having tedious calculations to perform.
The base of common logarithms is ten.
You can convert to the same base, by the identity: log a b = log b / log a (where the latter two logs are in any base, but both in the same base).
There are two ways to solve this. One is using the definition of logarithms: solve the equation 4 x = 16. This can be done by inspection, in this case. The other is to use …a change-of-base, to change to a base your calculator can handle. For example, changing to base e: log 4 16 = ln(16) / ln(4)
Negative numbers don't have logarithms.
d/dx ln(1-x) = 1/(1-x) d/dx 1/(1-x) = 1-x * d/dx 1 - 1 * d/dx(1-x)/(1-x^2 = 1-x * 0 - 1 * 0 - 1/(1-x)^2 = -1/(1-x)^2 --------------
No, it is undefined and indeterminate. Log base y of a variable x = N y to the N power = x if y ( base) = 0 then 0 to the N power = x which is always zero (or one in some …cases) and ambiguous. Say you want log base 0 of 50 0 to the N power = 50 cannot be true as 0 to the N is always zero
ln() the ln stands for the Latin logarithmus naturali, or natural log in English. log e () is also acceptable but more tedious and rarely used.
The logarithm of a number with base=B is written as [ log B (N) ]. If the base is 10, it's called the "common logarithm" of N and the base isn't written. [ log(N) ]. … If the base is 'e', it's called the "natural logarithm" of N, and written [ ln(N) ].
No. No number can be generated by raising zero to a power. Zero raised to any power is still zero.