Question

2 log^2 3x-7log3x+3=0

Answer 1

$2log^2_3x-7log_3x+3=0\a=log_3x\x textgreater 0\\2a^2-7a+3=0\D=(-7)^2-4*2*3=25=5^2\a_1= frac{7+5}{2*2}=3;; ; ; a_2= frac{7-5}{2*2}= frac{1}{2}\\log_3x=3= textgreater x_1=3^3=27\log_3x= frac{1}{2}= textgreater x_2=3^{ frac{1}{2} }= sqrt{3}$