Question

Resolva a inequação exponencial: 49^x+1≤343.

Answer 1

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$49^{x+1} \leq 343 \\ \\ (7^2)^{x+1} \leq 7^3 \\ \\ 7^{2x+2 } \leq 7^3 \\ \\ 2x+2 \leq 3 \\ \\ 2x \leq 3-2 \\ \\ 2x \leq 1 \\ \\ x \leq \frac{1}{2}$

$S=\{x\in R |x \leq \frac{1}{2} \}$