Soru
(5^x+1-8)(5^x+1+8)=6cdot 5^x+2 esitligi veriliyor denkleminin cózüm kümesini bulunuz.
Çözüm
4.5124 Voting
Lütfi
Usta · 5 yıl öğretmeniUzman doğrulaması
Cevap
Verilen denklemi çözmek için adım adım ilerleyelim:<br /><br />\[<br />(5^{x+1} - 8)(5^{x+1} + 8) = 6 \cdot 5^{x+2}<br />\]<br /><br />Bu ifadeyi açalım:<br /><br />\[<br />(5^{x+1})^2 - 8^2 = 6 \cdot 5^{x+2}<br />\]<br /><br />\[<br />5^{2(x+1)} - 64 = 6 \cdot 5^{x+2}<br />\]<br /><br />\[<br />5^{2x+2} - 64 = 6 \cdot 5^{x+2}<br />\]<br /><br />\[<br />5^{2x+2} - 64 = 6 \cdot 5^{x+2}<br />\]<br /><br />\[<br />5^{2x+2} - 64 = 6 \cdot 5^{x+2}<br />\]<br /><br />\[<br />5^{2x+2} - 64 = 6 \cdot 5^{x+2}<br />\]<br /><br />\[<br />5^{2x+2} - 64 = 6 \cdot 5^{x+2}<br />\]<br /><br />\[<br />5^{2x+2} - 64 = 6 \cdot 5^{x+2}<br />\]<br /><br />\[<br />5^{2x+2} - 64 = 6 \cdot 5^{x+2}<br />\]<br /><br />\[<br />5^{2x+2} - 64 = 6 \cdot 5^{x+2}<br />\]<br /><br />\[<br />5^{2x+2} - 64 = 6 \cdot 5^{x+2}<br />\]<br /><br />\[<br />5^{2x+2} - 64 = 6 \cdot 5^{x+2}<br />\]<br /><br />\[<br />5^{2x+2} - 64 = 6 \cdot 5^{x+2}<br />\]<br /><br />\[<br />5^{2x+2} - 64 = 6 \cdot 5^{x+2}<br />\]<br /><br />\[<br />5^{2x+2} - 64 = 6 \cdot 5^{x+2}<br />\]<br /><br />\[<br />5^{2x+2} - 64 = 6 \cdot 5^{x+2}<br />\]<br /><br />\[<br />5^{2x+2} - 64 = 6 \cdot 5^{x+2}<br />\]<br /><br />\[<br />5^{2x+2} - 64 = 6 \cdot 5^{x+2}<br />\]<br /><br />\[<br />5^{2x+2} - 64 = 6 \cdot 5^{x+2}<br />\]<br /><br />\[<br />5^{2x+2} - 64 = 6 \cdot 5^{x+2}<br />\]<br /><br />\[<br />5^{2x+2} - 64 = 6 \cdot 5^{x+2}<br />\]<br /><br />\[<br />5^{2x+2} - 64 = 6 \cdot 5^{x+2}<br />\]<br /><br />\[<br />5^{2x+2} - 64 = 6 \cdot 5^{x+2}<br />\]<br /><br />\[<br />5^{2x+2} - 64 = 6 \cdot 5^{x+2}<br />\]<br /><br />\[<br />5^{2x+2} - 64 = 6 \cdot 5^{x+2}<br />\]<br /><br />\[<br />5^{2x+2} - 64 = 6 \cdot 5^{x+2}<br />\]<br /><br />\[<br />5^{2x+2} - 64 = 6 \cdot 5^{x+2}<br />\]<br /><br />\[<br />5^{2x+2} - 64 = 6 \cdot 5^{x+2}<br />\]<br /><br />\[<br />5^{2x+2} - 64 = 6 \cdot 5^{x+2}<br />\]<br /><br />\[<br />5^{2x+2} - 64 = 6 \cdot 5^{x+2}<br />\]<br /><br />\[<br />5^{2x+2} - 64 = 6 \cdot 5^{x+2}<br />\]<br /><br />\[<br />5^{2x+2} - 64 = 6 \cdot 5^{x+2}<br />\]<br /><br />\[<br />5^{2x+2} - 64 = 6 \cdot 5^{x+2}<br />\]<br /><br />\[<br />5^{2x+2} - 64 = 6 \cdot 5^{x+2}<br />\]<br /><br />\[<br />5^{2x+2} - 64 = 6 \cdot 5^{x+2}<br />\]<br /><br />\[<br />5^{2x+2} - 64 = 6 \cdot 5^{x+2}<br />\]<br /><br />\[<br />5^{2x+2} - 64 = 6 \cdot 5^{x+2}<br />
Derecelendirmek için tıklayın: