Discussion

Explanation:

Given, 3^2x+2 + 3^2x-2 = 738

⇒ $9\times 3^{2x}$ + $\frac{3^{2x}}{9}$ = 738

⇒ $3^{2x}\left(9+\frac{1}{9}\right)$ = 738

⇒ $3^{2x}\times \frac{82}{9}$ = 738

⇒ $3^{2x}$ = 738 × $\frac{9}{82}$

⇒ $3^{2x}$ = 9 × 9 = 81

⇒ $3^{2x}$ = 3⁴

⇒ 2x = 4

⇒  x = 2

Hence, 2.

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