0\; pri x\in R\; \to \\\\min(log_3(x^2+3))=log_3(0^2+3)=log_33=1\; ,\; x=0\\\\-1 \leq cos \alpha \leq 1\; \to \\\\max(cos\frac{\pi x}{2})=1\; pri\; x=0,\; \; (cos0=1)\\\\log_{\frac{1}{3}}(x^2+3)=-cos\frac{\pi x}{2}=1\; pri\; x=0\\\\Otvet:\; x=0." alt="log_{\frac{1}{3}}(x^2+3)=-cos\frac{\pi x}{2}\\\\-log_3(x^2+3)=-cos\frac{\pi x}{2}\\\\log_3(x^2+3)=cos\frac{\pi x}{2}\\\\x^2+3>0\; pri x\in R\; \to \\\\min(log_3(x^2+3))=log_3(0^2+3)=log_33=1\; ,\; x=0\\\\-1 \leq cos \alpha \leq 1\; \to \\\\max(cos\frac{\pi x}{2})=1\; pri\; x=0,\; \; (cos0=1)\\\\log_{\frac{1}{3}}(x^2+3)=-cos\frac{\pi x}{2}=1\; pri\; x=0\\\\Otvet:\; x=0." align="absmiddle" class="latex-formula">