How to evaluate e^(In8)?

wezergoat420l2k

wezergoat420l2k

Answered question

2023-01-07

How to evaluate eIn8?

Answer & Explanation

Edward Fisher

Edward Fisher

Beginner2023-01-08Added 5 answers

Assuming the objective of the query is to assess eln(8):
The base b logarithm is the inverse of an exponential function with base b. Specifically, it is the value to which b must be raised to obtain the argument of the function.
logb(x)=yx=by
So take note that by definition: aloga(x)=ay=x
(Note that it should make intuitive sense as to why aloga(x)=x, as loga(x) is the power to which we would need to raise a to obtain x, and we are raising a to that power)
The natural logarithm, or ln, is the logarithm with the base e. With that, we have
eln(8)=eloge(8)=8

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