Question

Solve for x :

${3}^{x} + x - 2 = 0$
​

Answer 1

SOLUTION ☺️

$= = > {3x}^{2} + x - 2 = 0 \\ \\ = = > {3x}^{2} + (3x - 2x) - 2 = 0 \\ \\ = = > {3x}^{2} + 3x - 2x - 2 = 0 \\ \\ = = > 3x(x + 1) - 2(x + 1) = 0\\ \\ = = > (x + 1)(3x - 2) = 0 \\ \\ = = > if \: (x + 1) = 0 \\ \\ = = > x = - 1 \\ \\ = = > if \: (3x - 2) = 0 \\ \\ = = > 3x = 2 \\ \\ = = > x = \frac{2}{3}$

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