f(N) = log10(2N)
时间: 2023-11-28 09:04:47 浏览: 24
The function f(N) returns the base-10 logarithm of 2N. This means that it tells us what power of 10 we need to raise 2N to in order to get the result. For example, if N = 3, then 2N = 8, and f(3) = log10(2N) = log10(8) = 0.903. This means that 2N needs to be raised to the power of 0.903 in order to get the result.
In general, as N increases, so does 2N, and therefore f(N) increases as well. This is because the logarithm of a number grows slowly at first, but then increases rapidly as the number gets larger. For example, if we compare f(10) and f(100), we get:
f(10) = log10(2^10) = log10(1024) = 3.010
f(100) = log10(2^100) = log10(1.2676506 x 10^30) = 30.104
As we can see, the value of f(N) increases rapidly as N gets larger. This means that the function f(N) grows exponentially, but at a slower rate than 2N itself.