0\\\\ t-6\cdot\frac{1}{t}-2,5=0\\\\ t^2-6-2,5t=0 \ |\cdot2\\\\ 2t^2-5t-12=0\\\\D=25+96=121=11^2\\\\t_1=\frac{5-11}{4}= -1,5 \ \ \ \O\\\\ t_1=\frac{5+11}{4}=4\\\\ 4^x=4\\4^x=4^1\\x=1" alt="\displaystyle\tt 4^x-6\cdot4^{-x}=2,5\\\\ 4^x-6\cdot\frac{1}{4^x} =2,5\\\\ 4^x=t; \ \ \ t>0\\\\ t-6\cdot\frac{1}{t}-2,5=0\\\\ t^2-6-2,5t=0 \ |\cdot2\\\\ 2t^2-5t-12=0\\\\D=25+96=121=11^2\\\\t_1=\frac{5-11}{4}= -1,5 \ \ \ \O\\\\ t_1=\frac{5+11}{4}=4\\\\ 4^x=4\\4^x=4^1\\x=1" align="absmiddle" class="latex-formula">