лог_4 (9х^2+1/4)=-1/2

㏒₄(9x²+1/4)=- 1/2

9x²+1/4= 4⁻¹⁾₂

9x²+1/4=1/2

9x²+1/4-1/2=0

9x²-1/4=0

(3x-1/2)(3x+1/2)=0

3x-1/2=0  3x+1/2=0

3х=1/2      3х=-1/2

х=1/6        х= -1/6