You can put this solution on YOUR website! now 343=7^3
and(1/7)^x-3 is the same as writing it as 7^-(x-3)
therefore(1/7)^x-3=343 can be translated as 7^-(x-3)=7^3
since the bases are the same the powers are also the same,
-(x-3)=3
-x+3=3
-x=3-3
-x=0
therefore we get x=0