Log_2(x-1)^2 - log_0,5(x-1)=9

log2(x-1)^2=2log2(x-1)=2log0,5(x-1)/log0.5(2) тогда 2log0,5(x-1)/log0.5(2) - log0.5(x-1)=9 (2log0.5(x-1)-log0.5(2)*log0.5(x-1))/log0.5(2)=9 log0.5(x-1)(2-log0.5(2))/log0.5(2)=9 log0.5(x-1)(log0.5(0.5^3))/log0.5(2)=9 3log0.5(x-1)/log0.5(2)=9 3log2(x-1)=9 log2(x-1)=3 log2(x-1)=log2(8) x-1=8 x=9 ответ:9