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27 October, 08:34

Use natural logarithms to solve the equation. Round to the nearest thousandth.

3e^2x+2=28

A. 1.0797

B. 0.4689

C. 0.9261

D. 2.1595

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Answers (1)
  1. 27 October, 08:48
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    A. 1.0797

    Step-by-step explanation:

    Given the equation,

    3e^2x+2=28

    To solve for x, first we move 2 to the other side of the equation.

    3e^2x = 28-2

    3e^2x = 26

    Dividing both sides by 3

    e^2x = 26/3

    e^2x = 8.67

    Taking the natural logarithm if both sides

    ln (e^2x) = ln8.67

    2x = ln8.667

    2x = 2.1595

    x = 2.1595/2

    x = 1.0797
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