1)[tex]1)x\ \textgreater \ 1 \\ 3lg(x-1)+lg(x-1)=lg5+lg 10^{6} \\ 4lg(x-1)=lg5* 10^{6} \\ (x-1)^{4}=5* 10^{6} \\ x-1= \sqrt[4]{5* 10^{6} } \\ x=10 \sqrt[4]{500}+1 \\ 2)lg(35-x^3)=3lg(5-x) \\ 35-x^3=(5-x)^3 \\ 35-x^3=125-75x+15 x^{2} -x^3 \\ 15 x^{2} -75x+90=0 \\ x^{2} -5x+6=0 \\ x=2;x=3[/tex]
