Property of exponential function

Question

Mathematics

Greetings!

What is the name of the property of a function or the type of functions, for example exponential a ^ x, when by the sum of different values ​​of this function from non-repeating arguments, it is possible to uniquely determine which values ​​were included in this sum?

For example, 48=16+32, and other values ​​2^x, where x will not be repeated, 48 will not be obtained.

UPD x belongs to the natural numbers, of course.

Answer 1

I don't think this property has a name. Moreover, if we talk about the exponential function, then it does not have such a property: for example 48 == 2^(log2(48)) in addition to what you have already said.