Question

Alguem me ajuda preciso dos calculos

Answer 1

a)

$3^{x+1} \ \textgreater \ 9 \\ \\ 3^{x+1} \ \textgreater \ 3^2 \\ \\ x + 1 \ \textgreater \ 2 \\ x \ \textgreater \ 1$

b) 

$8^x \leq 16 \\ \\ 2^{3x} \leq 2^4 \\ \\ 3x \leq 4 \\ \\ x \leq \frac{4}{3}$

c)

$( \frac{1}{3} )^x \ \textgreater \ (\frac{1}{27} )^{x+3} \\ \\ ( \frac{1}{3} )^x \ \textgreater \ \frac{1}{3} ^{3x+8} \\ \\ x\ \textless \ 3x+8 \\ -8\ \textless \ 2x \\ x \ \textless \ -4$

e)

$5^{ x^{2} -3} \leq 1 \\ \\ 5^{ x^{2} -3} \leq 5^0 \\ \\ x^2 - 3 \leq 0 \\ \\ x^{2} \leq 3 \\ \\ x' \leq \sqrt{3} \\ x'' \leq -\sqrt{3}$