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.
