0.125 = 1/8 = 1/23 = 1/[sqrt(2)]6
So, the answer is -6
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".
Rational.
1: Calculate the square root, then calculate its square root; OR 2: Take the logarithm of the number, divide it by 4 then take the antilog.
The logarithm base 4 of 16 is asking the question "4 raised to what power equals 16?" In this case, 4 squared is equal to 16, so the answer is 2. Therefore, log base 4 of 16 is equal to 2.
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.
The base 10 logarithm of 0.01 is -2.
log 2 = 0.30102999566398119521373889472449 for base 10 logarithms
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".
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.
Take its logarithm, divide that by 2 and take the antilog of your answer....
-1/(2*x2)
Assuming you mean 'logarithm to the base 'e' ( natural logarithm. On the calculator its symbol is 'ln'. Hence ;ln 2 = 0.69314718....
Yes. Logarithms to the base 10 are called common logarithms, and 2 is the correct common logarithm for 100.
Rational.
Especially if the 2 is written as a subscript, it means the base-2 logarithm.
To calculate a logarithm (log T), you determine the base of the logarithm you want to use (commonly base 10 or the natural logarithm base e). Then, you use the formula log T = log (T) where T is the number you wish to take the logarithm of. For example, if T = 100, log10(100) = 2 because 10^2 = 100. You can use a scientific calculator or software to compute logarithms directly.
If a^x = n, where a is a positive real number other than 1 and x is a rational number then logarithm is defined as, logarithm of n to the base a is x. Then is written as log n base a = x.