Question

Am nevoie urgent, dau coroana ​

Answer 1

Explicație pas cu pas:

${10}^{x} < 100000 \\ {10}^{x} < {10}^{5} \iff x < 5$

=> x ∈ {0, 1, 2, 3, 4}

${2}^{2x + 1} \geqslant 128\iff {2}^{2x + 1} \geqslant {2}^{7} \\ 2x + 1 \geqslant 7\iff 2x \geqslant 7 - 1 \\ 2x \geqslant 6 \iff x \geqslant 3$

=> x ∈ {3, 4, 5, 6, ...}

${4}^{3x - 5} > 256\iff {4}^{3x - 5} > {4}^{4} \\ 3x - 5 > 4 \iff 3x > 4 + 5 \\ 3x > 9 \iff x > 3$

=> x ∈ {4, 5, 6, ...}