0\\5a+ \frac{3}{a} \leq 16\\5a^2-16a+3 \leq 0\\5(a-0,2)(a-3) \leq 0\\ 0,2\leq a \leq 3\\5^{-1} \leq 5^x \leq 5^{log_53}\\-1 \leq x \leq log_53" alt="5^{x+1}+3*5^{-x} \leq 16\\5^x=a;a>0\\5a+ \frac{3}{a} \leq 16\\5a^2-16a+3 \leq 0\\5(a-0,2)(a-3) \leq 0\\ 0,2\leq a \leq 3\\5^{-1} \leq 5^x \leq 5^{log_53}\\-1 \leq x \leq log_53" align="absmiddle" class="latex-formula">
x ∈ [-1; log₅3]