Question

What is the solution to the equation below? In x= -4

Answer 1

Answer:

  B. X=0.02

Step-by-step explanation:

The solution to the natural log equation is found by taking antilogs.

  ln(x) = -4 . . . . . . . given equation

  x = e^-4 . . . . . . . take antilogs

  x ≈ 0.0183156

  x ≈ 0.02 . . . . rounded to 2 decimal places

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Additional comment

Essentially, we use each side of the equation as a power of e.

  e^ln(x) = e^(-4)

  x = e^-4 . . . . . . . simplified

Choices C and D can be eliminated by the fact that ln(x) for x < 0 is undefined. x cannot be negative.