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If e^5x=k, where k is any positive number then what is the value of x

1 Answer

2 votes

Answer:

If
k > 0, then
x must be greater than 0.

Explanation:

If
k > 0, then we state that
e^(5\cdot x) > 0 and
e^(5\cdot x) is a trascendental function with a lower bound so that
e^(5\cdot x)> 1. Then, the minimum value of
k is 1 and we proceed to solve the latter equation to find the value of
x:


e^(5\cdot x)> 1


\ln e^(5\cdot x) > \ln 1


5\cdot x > 0


x > 0

Therefore,
x must be greater than 0.

User Yerko Palma
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