For the following exercises, evaluate the natural logarithmic expression without using a calculator. ln(e−0.225) − 3

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

ln(e−0.225) − 3

Expert Solution

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.

Nabeel answered 1 year ago

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