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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.
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 the logarithm of 1.0?
Zero, in logs to base 10, base e, or any base.
What is the logarithm of 100?
logarithm of 100 = 2. If there is not a subscript number on your log, you assume it to be 10. In other words, the little subscript would be the base if you were raising it to a power, and the big number is the answer of the power. For example, log (base 10) 100 = 2 because 10 (the base) raised to a power of 2 (the log answer) = 100 (the number you just took the log of.)
Write each number as a power of ten 3000 30000 50 50 million.?
As an example, the power you would have to raise 10 to for the result to equal 3,000 is simple the common logarithm (i.e., the logarithm base 10) of the number 3,000. (I don't happen to have with me at the moment either a logarithm table or a calculator that has a common logarithm button on it, so I can't at the moment tell you what the logarithm of 3,000 is. But that's how you'd find out what power to raise 10 to if you wanted the result to equal 3,000 . . . or any of the other numbers in the question.) Simpler example: Write 1,000 as a power of 10. Answer: The common logarithm of the number 1,000 is: 3. So 10 to the power 3 will equal 1,000. By the way, the common logarithm of 10,000 is: 4. (So 10 to the power 4 will equal 10,000.) -- So what, you ask? Well, 3,000 is between 1,000 and 10,000. So the information in the "Simpler example" in the paragraph immediately foregoing and the information in the present paragraph together imply that the common logarithm of 3,000 must be between 3 and 4 . So the power you have to raise 10 to if you want the result to equal 3,000 is 3 plus some fraction.
What is the common logarithm of 0.072?
The common logarithm of a number is the exponent to which 10 must be raised to equal that number. In this case, the common logarithm of 0.072 is -1.1438. This is because 10 raised to the power of -1.1438 is approximately equal to 0.072.
What does it mean to say that x is the common logarithm of N?
Saying that "X is the common logarithm of N" means that 10 raised to the power of X is N, or 10X = N. For instance, the common logarithm of 100 is 2, of 1000 is 3, and of 25 is about 1.398.
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.
What is the difference between the common logarithm and the natural logarithm?
A logarithm is the exponent to which a number called a base is raised to become a different specific number. A common logarithm uses 10 as the base and a natural logarithm uses the number e (approximately 2.71828) as the base.
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 pH equals -log10 H plus?
Definition to use for the log (logarithm):the logarithm of a number (n) to a given base (b) is the exponent (e) to which the base must be raised in order to produce that number.(Raising to the power is the inverse of taking the logarithm.)logb(n) = e or be = nFor example, the logarithm of 1000 to base 10 is 3 ( log10(1000) = 3),because 10 to the power of 3 is 1000: 103 = 1000.-log10[H+] is (by definition) used to calculate the pH of a dilute solution in which [H+] = concentration of H+ (or H3O+) in mol/L.pH = -log10[H+] or [H+] = 10-pH
What is logarithm in simple terms?
A logarithm is the inverse operation of exponentiation. It is used to find the power to which a fixed number (called the base) must be raised to produce a given number. Logarithms help simplify calculations involving very large or very small numbers.
What does log in algebra mean?
The log or logarithm is the power to which ten needs to be raised to equal a number. Log 10=1 because 10^1=10 Log 100=2 because 10^2=100 Sometimes we use different bases. Like base 2. Then it is what 2 is raised by to get the number. Log "base 2" 8=3 because 2^3=8
What is the logarithm of 0.01?
The base 10 logarithm of 0.01 is -2.
What is the logarithm of 1.0?
Zero, in logs to base 10, base e, or any base.
What does logged in mean?
The log or logarithm is the power to which ten needs to be raised to equal a number. Log 10=1 because 10^1=10 Log 100=2 because 10^2=100 Sometimes we use different bases. Like base 2. Then it is what 2 is raised by to get the number. Log "base 2" 8=3 because 2^3=8
What does a log with a subscript mean?
A log with a subscript typically indicates the base of the logarithm. For example, "log₃(x)" means the logarithm of x in base 3. This notation is used to specify the base of the logarithm function.
