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

A. X=0.31
B. X=0.02
C. X=-54.60
D. X=-1.39

1 Answer

5 votes

Answer:

B. X=0.02

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.

User JulCh
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