Answer:
7x
Step-by-step explanation:
We are given a logarithmic expression and we have to simplify it.
The expression is [tex]e^{\ln 7x}[/tex]
Now, let us assume that [tex] A = e^{\ln 7x}[/tex]
Taking ln on both sides we get,
[tex]\ln A = \ln e^{\ln 7x}[/tex]
⇒ [tex]\ln A = \ln 7x \ln e[/tex]
{Since, we know the logarithmic property [tex]\ln a^{b} = b \ln a[/tex]}
⇒ [tex]\ln A = \ln 7x[/tex]
{ Since, we know, [tex]\ln e = 1[/tex]}
⇒ A = 7x (Answer)
{Cancelling ln on both sides}
