Final answer:
The expression e^(3)=x in logarithmic form is ln(x) = 3, since the natural logarithm function ln is the inverse of the exponential function e.
Step-by-step explanation:
The expression e^(3)=x can be rewritten in logarithmic form by recognizing that the exponential function e and the natural logarithm ln are inverse functions. The logarithmic form of the expression would therefore be ln(x) = 3, which says that the power to which e must be raised to get x is 3. Essentially, the logarithm converts the exponentiation process into a multiplication process, adhering to the property that the logarithm of a number raised to an exponent is the product of the exponent and the logarithm of the number.