Problem 728

Evaluate ln e6




Use the basic properties of logarithms to find ln e6. Recall that by the definition of the natural logarithm, ln x = log ex.

Note that the given express is of the form log bbx.

The basic property of logarithms states that for b > 0, b ≠ 1, log bbx = x.

Apply the property to the given expression.

ln e6 = log ee6

= 6

Therefore, ln e6 = 6.


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