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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: logxb logab=--------- logxa
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 …approximately 1.14472989 + 1.57079633 i
The natural base, e, 2.718281828..., was selected because the derivatived/dx ex is equal to x. This simplifies many calculations, derivatives, integrals, etc. Additional: 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 logari…thms 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 logarithms of different bases to the same base. After that, you may or may not be able to simplify the resulting expression. Example of change-of-base: log 2… 1024 = ln(1024) / ln(2) Instead of natural logarithms, you can convert to any other base: log 2 1024 = log 10 (1024) / log 10 (2)
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 case…s) 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. loge() 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.