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Chapter 11: Q61. (page 582)

Solve each equation.
$3 e^{x} 鈭� 2 = 0$

Short Answer

Expert verified

The solution to the equation is $\ln (\frac{2}{3})$ .

Step by step solution

01

Step 1. Given Information.

Given equation is $3 e^{x} 鈭� 2 = 0$

02

Step 2. Calculation.

Simplifying the equation:

$\begin{array}{l} 3 e^{x} 鈭� 2 = 0 \\ 3 e^{x} = 2 \\ e^{x} = \frac{2}{3} \\ \ln (e^{x}) = \ln (\frac{2}{3}) \\ x = \ln (\frac{2}{3}) \end{array}$

03

Step 3. Conclusion.

Hence, the solution to the equation is $x = \ln (\frac{2}{3})$ .

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