Вправи 301 - 400 » 366 (4)

4) 5x–1 = ((36^(-2) • 2^3)/〖8,1〗^(-1) )2; 5/x = ((2^3 •8,1)/36^2 )2; 5/x = (2^6• 81^2)/(36^2• 10^2 ); 5/x = (2^6• 〖(3〗^4 )^2)/(〖(6〗^2 )^2• 2^2 • 5^2 ); 5/x = (2^6 • 3^8)/(6^4 • 2^2 • 5^2 ); 5/x = (2^6 • 3^8)/(2^4 • 3^4• 2^2• 5^2 ); 5/x = 3^4/5^2 ; 5/x = 81/25; x = (5 •25)/81; x = 125/81 = 144/81.