0.125 = 1/8 = 1/23 = 1/[sqrt(2)]6
So, the answer is -6
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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.