[PDF] logarithme base 2

What is the logarithm of 8 to base 2?

• For example, 2 3 = 8; therefore, 3 is the logarithm of 8 to base 2, or 3 = log 2 8. In the same fashion, since 10 2 = 100, then 2 = log 10 100. Logarithms of the latter sort (that is, logarithms with base 10) are called common, or Briggsian, logarithms and are written simply log n.

How do you write logarithms?

• Written By: Logarithm, the exponent or power to which a base must be raised to yield a given number. Expressed mathematically, x is the logarithm of n to the base b if b x = n, in which case one writes x = log b n. For example, 2 3 = 8; therefore, 3 is the logarithm of 8 to base 2, or 3 = log 2 8.

What is the base of logarithm?

• the base: the number we are multiplying (a "2" in the example above) how often to use it in a multiplication (3 times, which is the logarithm) Example: What is log5(625) ... ? We are asking "how many 5s need to be multiplied together to get 625?" Example: What is log2(64) ... ? We are asking "how many 2s need to be multiplied together to get 64?"

What is the logarithm to base 10 of 1000?

• In the simplest case, the logarithm counts the number of occurrences of the same factor in repeated multiplication; e.g., since 1000 = 10 × 10 × 10 = 103, the "logarithm to base 10 " of 1000 is 3. The logarithm of x to base b is denoted as logb (x), or without parentheses, logb x, or even without the explicit base,...

Log base 2 is a mathematical form of expressing any natural number as an exponential form to the base of 2. The exponential form of 2 4 = 16 can be easily represented as a log base 2 and written as log216 = 4 l o g 2 16 = 4. Log N to the base of 2 is equal to expressing the number N in exponential form having a base of 2.