What Is Ln(x) = 3?


Quick Answer

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.

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Full Answer

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

The value of the variable x can be found by using the function key ex 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.

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