\\ 2^{5x+18}*3^{4x+11}*7^{3x+4}\geq (2^3*3^2*7^1)^{x+7}=>\\ 2^{5x+18}*3^{4x+11}*7^{3x+4}\geq 2^{3*(x+7)}*3^{2*(x+7)}*7^{x+7}=>\\ 2^{5x+18}*3^{4x+11}*7^{3x+4}\geq 2^{3x+21}*3^{2x+14}*7^{x+7}=>\\ 2^{5x+18-3x-21}*3^{4x+11-2x-14}*7^{3x+4-x-7}\geq 1=>\\ 2^{2x-3}*3^{2x-3}*7^{2x-3}\geq 1=>\\ (2*3*7)^{2x-3} \geq 1=>\\ (2*3*7)^{2x-3} \geq (2*3*7)^0=>\\ 2x-3 \geq 0=>\\ x \geq \frac{3}{2}" alt="2^{5x+18}*3^{4x+11}*7^{3x+4}\geq 504^{x+7}=>\\ 2^{5x+18}*3^{4x+11}*7^{3x+4}\geq (2^3*3^2*7^1)^{x+7}=>\\ 2^{5x+18}*3^{4x+11}*7^{3x+4}\geq 2^{3*(x+7)}*3^{2*(x+7)}*7^{x+7}=>\\ 2^{5x+18}*3^{4x+11}*7^{3x+4}\geq 2^{3x+21}*3^{2x+14}*7^{x+7}=>\\ 2^{5x+18-3x-21}*3^{4x+11-2x-14}*7^{3x+4-x-7}\geq 1=>\\ 2^{2x-3}*3^{2x-3}*7^{2x-3}\geq 1=>\\ (2*3*7)^{2x-3} \geq 1=>\\ (2*3*7)^{2x-3} \geq (2*3*7)^0=>\\ 2x-3 \geq 0=>\\ x \geq \frac{3}{2}" align="absmiddle" class="latex-formula">
Ответ 