Question

Determinati nr nat x care verifica egalitatile. 12 • 4^x -5•4^x = 7• 2^12


VA ROG URGENT

Answer 1

Răspuns:

6

Explicație pas cu pas:

$12 \cdot {4}^{x} - 5 \cdot {4}^{x} = 7 \cdot {2}^{12} \\(12 - 5) \cdot {( {2}^{2} )}^{x} = 7 \cdot {2}^{12} \\ 7 \cdot {2}^{2x} = 7 \cdot {2}^{12} \iff{2}^{2x} = {2}^{12} \\2x = 12 \implies \bf x = 6$