[latex]7^x - 7 (^x-1) =6[/latex]

[latex]7^x-7^{x-1}=6 \\ \\ 7^x- \frac{ 7^{x}}{7}=6 \\ \\ 7^x(1- \frac{1}{7} )=6 \\ \\ 7^x* \frac{6}{7} =6 \\ \\ 7^x=6: \frac{6}{7}=6* \frac{7}{6} =7 \\ \\ 7^x= 7^1 \\ x=1 \\ \\ OTBET:\ 1[/latex]