Hi there!
[tex]\large\boxed{\text{ She is incorrect.}}[/tex]
The format of a logarithmic equation is:
[tex]a^{b} = c\\\\log_{a}c = b[/tex]
In this instance:
a = e
b = 3x
c = 7
Rewrite as the logarithmic equation:
[tex]log_{e}7 = 3x[/tex]
Solve. Evaluate [tex]log_{e}7[/tex] and use algebra to find x:
[tex]1.946 = 3x\\\\x = 0.649[/tex]
