" alt="5^x+125\cdot5^{-x}=30, \\ \frac{5^{2x}+125-30\cdot5^x}{5^x}, \\ 5^{2x}-30\cdot5^x+125=0, \\ 5^x=t, \\ t^2-30t+125=0, \\ <...> " align="absmiddle" class="latex-formula">
" alt="3^{x+63,5}=27\sqrt{3}, \\ 3^{x+63,5}=3^{3,5}, \\ x+63,5=3,5 \\ <...>" align="absmiddle" class="latex-formula">
" alt="3^{2x}-2\cdot3^{2x-2}-2\cdot3^{2x-1}=1, \\ 3^{2x-2}(3^2-2\cdot1-2\cdot3^1)=1, \\ 3^{2x-2}=1, \\ 3^{2x-2}=3^0, \\ 2x-2=0, \\ <...> " align="absmiddle" class="latex-formula">
" alt="100^x=0,1\cdot(10^{x-1})^5, \\ (10^2)^x=10^{-1}\cdot10^{5x-5}, \\ 10^{2x}=10^{5x-6}, \\ 2x=5x-6, \\ <...>" align="absmiddle" class="latex-formula">
" alt="3^{2x+1}-3^{2x-1}-3^{2x-2}=225, \\ 3^{2x-2}(3^3-3^1+1)=225, \\ 25\cdot3^{2x-2}=225, \\ 3^{2x-2}=9, \\ 3^{2x-2}=3^2, \\ 2x-2=2, <...>" align="absmiddle" class="latex-formula">