log287

log287 refers to the base-2 logarithm of the number 287. The logarithm of a number y with respect to a base b is the exponent to which b must be raised to produce y. In this case, the base is 2 and the number is 287.

Calculating log287 involves finding the value of x such that 2^x = 287. Since 2^8 = 256 and 2^9 = 512, the value of log287 will be between 8 and 9. Using a calculator, the approximate value of log287 is 8.143.

The base-2 logarithm is commonly used in computer science and information theory. It is often denoted as log₂(n) or simply lg(n) in these fields. It represents the number of bits required to represent a number n in binary. For instance, to represent the number 287 in binary, one would need 9 bits, as 2^8 < 287 < 2^9.

The number 287 itself is a composite number. Its prime factorization is 7 * 41. It is not a power of 2, which is why its base-2 logarithm is not an integer. The concept of logarithms is fundamental in mathematics, allowing for the simplification of calculations involving large numbers and the analysis of exponential growth and decay.