Respuesta :
Answer: Choice A) e^c = 4
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In general if we had something like x = ln(y), then it is equivalent to e^x = y or y = e^x. The Ln is a natural log that is the inverse of the base e exponent. It's a special kind of log.
In this case, x = c and y = 4
So we go from c = ln(4) to e^c = 4
note: Logs are often used to solve for equations with variables in the exponent.
The exponential equation equivalent to the logarithmic function is
A.) [tex]e^c= 4[/tex].
What is an exponential equation?
It is given an exponential function as:
[tex]$c=\log 4$[/tex]
We are asked to find the exponential function which is equivalent to this given logarithmic function.
The exponential function and logarithmic function are inverses of each other.
If we are given a logarithmic function as:
[tex]$y=\log _{a} x$[/tex]
Then it's equivalent exponential function is given as:
[tex]$x=a^{y}$[/tex]
with the condition:
a>0 and [tex]$a \neq 1$[/tex]
Hence, the exponential equation equivalent to the logarithmic function [tex]$c=\log 4$[/tex] is:
[tex]$e^{c}=4$[/tex].
Hence, A.) [tex]e^c= 4[/tex] is the correct answer.
To learn more about the logarithmic equation
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