Question

For the following exercises, evaluate the natural logarithmic expression without using a calculator.

ln(e−0.225) − 3

Answer 1

Consider the natural logarithmic expression:

ln(e-0.225) - 3

 

Simplify the expression as follows:

Apply the log rule, loga(xb) = b∙loga(x) as follows:

ln(e-0.225) – 3 = -0.225ln(e) - 3

 

Apply the log rule, loga(a) = 1 as follows:

-0.225ln(e) – 3 = -0.225(1) – 3

                         = -0.225 – 3

                         = -3.225

 

Therefore, the natural logarithmic function is simplified as -3.225.

Therefore, the natural logarithmic function is simplified as -3.225.