what is the value of $e^{ln7x}$?\n1\n7e\n7x\n7
what is the value of $e^{ln7x}$?\n1\n7e\n7x\n7
Answer
Answer:
C. $7x$
Explanation:
Step1: Recall exponential - log property
The functions $y = e^{x}$ and $y=\ln x$ are inverse functions of each other. That is, for any positive real - number $a$, $e^{\ln a}=a$.
Step2: Apply the property to the given expression
In the expression $e^{\ln 7x}$, let $a = 7x$. Since $7x$ is in the domain of the natural logarithm function (assuming $x>0$ if $x$ is a real - valued variable), by the property of inverse functions $e^{\ln 7x}=7x$.