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The logarithm of 10 raised to 3, expressed as log(10^3), is equal to 3. This is because the logarithm function essentially asks, "To what exponent must the base (in this case, 10) be raised to produce a given number (10^3)?" Since 10 raised to 3 equals 1000, the answer is simply 3.
What else can I help you with?
What is the base-10 logarithm of 10000?
The base-10 logarithm of 10,000 is 4. This is because 10,000 can be expressed as (10^4), and the logarithm function gives the exponent to which the base (10) must be raised to produce that number. Therefore, (\log_{10}(10000) = 4).
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 log 8?
The logarithm of 8, denoted as log(8), refers to the power to which a base must be raised to obtain the number 8. If the base is 10 (common logarithm), log(8) is approximately 0.903. If the base is 2 (binary logarithm), log₂(8) equals 3, since 2 raised to the power of 3 equals 8. The value of log(8) can vary depending on the chosen 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.
How do you find lograthim?
To find a logarithm, you need to determine the power to which a given base must be raised to produce a specific number. The logarithm can be expressed as ( \log_b(a) = c ), meaning ( b^c = a ), where ( b ) is the base, ( a ) is the number, and ( c ) is the logarithm. You can use logarithm tables, calculators, or software tools to compute logarithms for various bases, such as base 10 (common logarithm) or base ( e ) (natural logarithm).
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 the common logarithm of 0.072?
Well, honey, the common logarithm of 0.072 is approximately -1.1427. So, if you're looking to crunch some numbers, that's the answer you're looking for. Just remember, math doesn't care if you're having a bad hair day.
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?
The power to which a 'base number' (usually 10) has to be raised to produce a given number. as an example: Log (base 10) of 100 = 2 ............ because 10 raised to the power of 2 (or 10 squared) or 10 x 10 = 100 log (base 10) of 1000 = 3 ........... because 10 raised to the power of 3 (or 10 cubed) or 10 x 10 x10 = 1000 log (base 10) of 1000000000 = 9 ... because 10 raised to the powr of 9 or 10x10x10x10x10x10x10x10x10 = 1000000000 In a similar way log (base 2) of 16 = 4................. because 2x2x2x2 (2 raised to the power of 4) = 16 and so on.
How do you find lograthim?
To find a logarithm, you need to determine the power to which a given base must be raised to produce a specific number. The logarithm can be expressed as ( \log_b(a) = c ), meaning ( b^c = a ), where ( b ) is the base, ( a ) is the number, and ( c ) is the logarithm. You can use logarithm tables, calculators, or software tools to compute logarithms for various bases, such as base 10 (common logarithm) or base ( e ) (natural logarithm).
What is log10 3160?
The logarithm base 10 of 3160, denoted as log10(3160), is approximately 3.499. This value indicates that 10 raised to the power of about 3.499 equals 3160. You can calculate it using a scientific calculator or logarithm tables for more precise results.
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.
