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Q: Can you define a logarithm of any number to the base 1?
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What is the logarithm of 1.0?

Zero, in logs to base 10, base e, or any base.


Should you use the common logarithm or the natural logarithm?

The natural logarithm is the logarithm having base e, whereThe common logarithm is the logarithm to base 10.It really depends on the question!Maybe you should check out the examples!++++The common, or Base-10, logarithm will cover any multiplication, division and power arithmetic in the ordinary numbers, which are to base-10. It is also the base for the logarithmic ratio defining the decibel scale used in acoustics and electrical signals analysis.'The natural logarithm (base-e) underlies a large number of specific scientific laws and purposes, such as the expansion of gas in a cylinder.


What is a common logarithm?

Logarithms can be taken to any base. Common logarithms are logarithms taken to base 10; it is sometimes abbreviated to lg. Natural logarithms are logarithms taken to base e (= 2.71828....); it is usually abbreviated to ln.


What is difference between natural logarithm and log base 10?

The natural logarithm is calculated to base e, where e is Euler's constant. For any number, x loge(x) = log10(x)/log10(e)


Is it possible for a logarithm to equal a negative number?

Yes. The logarithm of 1 is zero; the logarithm of any number less than one is negative. For example, in base 10, log(0.1) = -1, log(0.01) = -2, log(0.001) = -3, etc.


What is full form of LOG?

"Log" is short for Logarithm and can be to any base.The Logarithm of a number is the number to which the base has to be raised to get that number; that is why there are no logarithms for negative numbers. For example: 10² = 100 → log to base 10 of 100 is 2.There are two specific abbreviations:lg is the log to base 10ln is the log to base e - e is Euler's number and is approximately 2.71828184; logs to base e are known as natural logs.On an electronic calculator the [log] button takes logarithms to base 10. The inverse function (anti-log) is marked as 10^x.Similarly the [ln] button takes logs to base e, with the inverse function marked as e^x.


What is the value of 2 log 1?

I suppose you mean log21 - the logarithm of 1, to the base 2. The logarithm of 1 (in any base) is zero, since x0 = 1 for any "x".


What are the examples of irrational numbers?

The square root of any number which is not a perfect square;The cube root of any number which is not a perfect cube;Pi, the circular constant.e, the natural logarithm base number.


What is the difference between log and ln?

Log is a logarithm with any arbitrary base, for example log_10 100=2. Ln is a logarithm with a base of e(Euler's number), which is 2.71828 18284 59045 23536...


How do you find the variable with an exponent on an equation?

Solving for a variable in the exponents involves logarithsm.A logarithm, for example a logarithm to base 10, is related to the question, "to what power do I have to raise a number [10 in the example] to get a certain other number?"Scientific calculators can usually calculate logarithms to base 10, and base e = 2.718... directly.Examples:10x = 1000 is equivalent to asking for the logarithm (base 10) of 1000. Take the logarithm of 1000 on your calculator. The result, of course, should be 3.To calculate something like 2x = 1024, divide log(1024) / log(2) (using any base, but be consistent). The result should be 10, or close to 10 (due to rounding errors, it may not be exact).Solving for a variable in the exponents involves logarithsm.A logarithm, for example a logarithm to base 10, is related to the question, "to what power do I have to raise a number [10 in the example] to get a certain other number?"Scientific calculators can usually calculate logarithms to base 10, and base e = 2.718... directly.Examples:10x = 1000 is equivalent to asking for the logarithm (base 10) of 1000. Take the logarithm of 1000 on your calculator. The result, of course, should be 3.To calculate something like 2x = 1024, divide log(1024) / log(2) (using any base, but be consistent). The result should be 10, or close to 10 (due to rounding errors, it may not be exact).Solving for a variable in the exponents involves logarithsm.A logarithm, for example a logarithm to base 10, is related to the question, "to what power do I have to raise a number [10 in the example] to get a certain other number?"Scientific calculators can usually calculate logarithms to base 10, and base e = 2.718... directly.Examples:10x = 1000 is equivalent to asking for the logarithm (base 10) of 1000. Take the logarithm of 1000 on your calculator. The result, of course, should be 3.To calculate something like 2x = 1024, divide log(1024) / log(2) (using any base, but be consistent). The result should be 10, or close to 10 (due to rounding errors, it may not be exact).Solving for a variable in the exponents involves logarithsm.A logarithm, for example a logarithm to base 10, is related to the question, "to what power do I have to raise a number [10 in the example] to get a certain other number?"Scientific calculators can usually calculate logarithms to base 10, and base e = 2.718... directly.Examples:10x = 1000 is equivalent to asking for the logarithm (base 10) of 1000. Take the logarithm of 1000 on your calculator. The result, of course, should be 3.To calculate something like 2x = 1024, divide log(1024) / log(2) (using any base, but be consistent). The result should be 10, or close to 10 (due to rounding errors, it may not be exact).


Why value of log1 is 0?

Logarithm is the solution, "x", to the equation: ax = b. In this case, assuming the logarithm is base 10, 10x = 1; the same for any other base.


Which number is equivalent to the power of 10?

A positive integer power of ten is of the form 1 followed by zeros: ten, hundred, billion and so on.A fractional power of ten can be any positive number - the logarithm (to base 10).A positive integer power of ten is of the form 1 followed by zeros: ten, hundred, billion and so on.A fractional power of ten can be any positive number - the logarithm (to base 10).A positive integer power of ten is of the form 1 followed by zeros: ten, hundred, billion and so on.A fractional power of ten can be any positive number - the logarithm (to base 10).A positive integer power of ten is of the form 1 followed by zeros: ten, hundred, billion and so on.A fractional power of ten can be any positive number - the logarithm (to base 10).