Choose the expression or equation that is equivalent to the one given

e^3x=6

I will assume that your 3x is an exponent of e. Or did you mean e^3*x ?

3x = ln 6 = 1.791759...
x = 0.597253... = (ln 6)/3

There are many other "equivalent expressions" that could be written, such as

e^(3x) + 1 = 7