What is the inverse to log?

The log function is one of these functions. We know that the inverse of a log function is an exponential. So, we know that the inverse of f(x) = log subb(x) is f^-1(y) = b^y. If the base is e and we are dealing with the natural log, then the inverse of f(x) = ln(x) is f^-1(y) = e^y.

What is the inverse of the exponential function?

The logarithmic function g(x) = logb(x) is the inverse of the exponential function f(x) = bx. The meaning of y = logb(x) is by = x. is the “exponential form” for the logarithm y = logb(x). The positive constant b is called the base (of the logarithm.)

What is the value of Lambert W?

The Lambert W function W(x) represents the solutions y of the equation y e y = x for any complex number x . For complex x, the equation has an infinite number of solutions y = lambertW(k,x) where k ranges over all integers. For all real x ≥ 0, the equation has exactly one real solution y = lambertW(x) = lambertW(0,x).

Is ln the inverse of log?

The natural log is the inverse of , a fancy term for opposite. Speaking of fancy, the Latin name is logarithmus naturali, giving the abbreviation ln.

What is the relationship between exponentials and logarithms?

Logarithmic functions are the inverses of exponential functions. The inverse of the exponential function y = ax is x = ay. The logarithmic function y = logax is defined to be equivalent to the exponential equation x = ay.

What is W in Lambert form?

In mathematics, the Lambert W function, also called the omega function or product logarithm, is a multivalued function, namely the branches of the converse relation of the function f(w) = wew, where w is any complex number and ew is the exponential function.

What is ProductLog Mathematica?

ProductLog[k,z] allows k to be any integer, with corresponding to the principal solution. ProductLog[k,z] for integer has a branch cut discontinuity from to 0. ProductLog can be used with CenteredInterval objects. »