6
QuizMultiple Choice

Solving Exponential and Logarithmic Equations — Quiz

Question 6 • Mathematics III

What is the solution to the equation e raised to the 3 x power is equal to 12 ? Round your answer to the nearest hundredth.

Answer
A
x is equal to 2 point 4 8
B
x is equal to 7 point 4 4
C
x is equal to 1 point 0 9
D
x is equal to 0 point 8 3

Explanation

Take the natural logarithm of both sides: 3x = ln(12). Then divide by 3 to get x = ln(12)/3 ≈ 2.4849/3 ≈ 0.83, so the solution is x = 0.83.

AI-written and checked against the verified answer.

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