![image](https://tex.z-dn.net/?f=2%5E%7B2x%7D%2B14%5Ccdot+2%5E%7Bx%2B1%7D-29%3D0%5C%5C%5C%5C%282%5E%7Bx%7D%29%5E2%2B14%5Ccdot+2%5E%7Bx%7D%5Ccdot+2-29%3D0%5C%5C%5C%5Ct%3D2%5E%7Bx%7D%3E0%2C%5C%3B+%5C%3B+t%5E2%2B28t-29%3D0%5C%5C%5C%5Ct_1%3D1%2C%5C%3B+t_2%3D-29%5C%3B+%28teor.%5C%3B+Vieta%29%5C%5C%5C%5Ct_2%3C0%5C%3B+ne%5C%3B+podxodit%5C%5C%5C%5C2%5E%7Bx%7D%3D1%5C%5C%5C%5C2%5E%7Bx%7D%3D2%5E0%5C%5C%5C%5Cx%3D0)
0,\; \; t^2+28t-29=0\\\\t_1=1,\; t_2=-29\; (teor.\; Vieta)\\\\t_2<0\; ne\; podxodit\\\\2^{x}=1\\\\2^{x}=2^0\\\\x=0" alt="2^{2x}+14\cdot 2^{x+1}-29=0\\\\(2^{x})^2+14\cdot 2^{x}\cdot 2-29=0\\\\t=2^{x}>0,\; \; t^2+28t-29=0\\\\t_1=1,\; t_2=-29\; (teor.\; Vieta)\\\\t_2<0\; ne\; podxodit\\\\2^{x}=1\\\\2^{x}=2^0\\\\x=0" align="absmiddle" class="latex-formula">