no
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.
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.
In the real numbers, the logarithm is only defined for positive numbers. The logarithm of zero or a negative number is undefined. (For calculators who work with complex number, only the logarithm of zero is undefined.) This follows from the definition of the logarithm, as the solution of: 10x = whatever "Whatever" is the number of which you want to calculate the logarithm. Since 10x is always positive, that means you can't find an "x" such that the power results in a negative number, or in zero. The same applies if you use a base other than 10, for example the number e = 2.718...
take the negative logarithm ex. 10^-4 has a pH of 4
no
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.
Negative numbers don't have logarithms.
A logarithm of a reciprocal. For example, log(1/7) or log(7-1) = -log(7)
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.
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.
Within the real numbers, the logarithm of negative numbers is not defined.
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!
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+].
pH is the negative logarithm of the hydrogen ion activity in a solution.
The acidity or basicity are expressed by pH (the negative logarithm of the activity of hydronium ion).
pH of a solution is the negative logarithm of the hydrogen-ion concentration