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Compare and contrast common logarithm with natural logarithm?
The natural logarithm is the logarithm having base e, whereThe common logarithm is the logarithm to base 10.You can probably find both definitions in wikipedia.
What is the notation for a logarithm with base 10?
The logarithm of a number with base=B is written as [ logB(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) ].
How do you write natural logarithms?
A natural logarithm or a logarithm to the base e are written as: ln(X) as opposed to loge(X)
What is the domain of logarithm and exponential function?
Domain of the logarithm function is the positive real numbers. Domain of exponential function is the real numbers.
In the continuous compounding equation e is the natural log to the base 10?
A "natural logarithm" is a logarithm to the base e, notto the base 10. Base 10 is sometimes called "common logarithm". The number e is approximately 2.71828.
Is there a negative answer on logarithm?
Logarithms of numbers less than one are negative. For example, the logarithm of 1/2 will be negative.
Can base of a logarithm be negative?
no
How do you calculate - log 0.5?
The logarithm of a number less than 1 is negative. Therefore, -log 0.5 is the negative logarithm of 0.5 which is equal to -0.301.
What is the logarithm of -1?
Negative numbers don't have logarithms.
What is the pH of an aqueous solution with a H plus concentration of 1 X 10-3 M?
3: The negative of the logarithm (base 10) of the concentration. The logarithm of 1 is 0 and the logarithm of 10-3 is -3; the logarithm of their product is the sum of their individual logarithms, -3 in this instance, and the negative of -3 is +3.
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 the logarithm L of a number x if 0 is greater than x?
Within the real numbers, the logarithm of negative numbers is not defined.
How do you find a logarithm from a table?
You look the number up in a table.Example:Find the logarithm of 511From a table I see that numbers are only listed from 1.00 to 9.99I look up 5.11 and know that I have to multiply that by 100 or 102 to get my original value, which is equivalent to adding 2 to the table value.The table gives me 0.7084209 for the logarithm for 5.11The logarithm of 511 is thus 2.7084209For numbers less than 1 the logarithm will be negative!Negative numbers do have logarithms!
Is the pH of solution is the negative logarithm of its hydroxide ion concentration?
No, the pH of a solution is the negative logarithm of its hydrogen ion concentration, not its hydroxide ion concentration. The formula for pH is pH = -log[H+].
What are characteristics of pH?
pH is the negative logarithm of the hydrogen ion activity in a solution.
What value is ued to express the acidity or bacity of a solution called?
The acidity or basicity are expressed by pH (the negative logarithm of the activity of hydronium ion).
Why is there a minus sign on the definition of pH?
pH of a solution is the negative logarithm of the hydrogen-ion concentration
