Answer:
[tex]e^{2x}=5[/tex]
Step-by-step explanation:
Recall that [tex]\log_b a=c\implies b^c=a[/tex].
In this case, we need to find the base of the logarithm. The logarithm [tex]\ln[/tex] denotes natural [tex]\log[/tex] with a base of [tex]e[/tex], a mathematical constant.
Therefore, we can re-write the equation as:
[tex]\log_e5=2x[/tex]
To write the equation as an exponential equation, recall the definition of log (first sentence of explanation):
[tex]\boxed{e^{2x}=5}[/tex]
