Question

найдите x если log 3 x =2 log3 7+2/3 log 3 27-3/2 log 3 16

Answer 1

$log_3x=2log_37+frac{2}{3}log_327-frac{3}{2}log_316\\log_3x=log_37^2+log_3(3^3)^{frac{2}{3}}-log_3(2^4)^{frac{3}{2}}\\log_3x=log_349+log_33^2-log_32^6\\log_3x=log_3frac{49cdot9}{64}\\x=frac{441}{64}$