What is ln(x) = 3?

The value of x in this logarithmic equation is approximately 20.0855. This answer is determined by using an exponential form to express this logarithmic equation and then finding the variable x.

Both sides of the equation ln{x) = 3 are expressed in exponent form as e^ln(x) = e³. This can be rewritten as x = e³ because e^x is the inverse function of ln(x).

The value of the variable x can be found by using the function key e^x on a scientific calculator, replacing x by 3 to get e⁽³⁾. This gives the result as x = 20.0855. The answer can be checked with a calculator by substituting ln(x) as ln(20.0855). The answer will be 2.999998161701042, which is rounded to 3.