Question

решите уравнение:log(13)(x-4) = 1

Answer 1

$log_{13}{left(x-4right)}=1;\ x-4geq0;==>xgeq4;==>xinleft(4;+inftyright);\ log_{13}{left(x-4right)}=1;\ \ 13^{log_{13}{left(x-4right)}}=13^1;\ left(x-4right)=13;\ x-4=13;\ x=13+4;\ x=17.$