[tex] {7}^{2x} - 6 \times {7}^{x} + 5 > 0[/tex]Помогите решить неравенство. Created by pubger3003. algebra-ru

tex]Помогите решить неравенство...

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[tex] {7}^{2x} - 6 \times {7}^{x} + 5 > 0[/tex]
Помогите решить неравенство

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$7^{2x}-6\cdot 7^{x}+5>0\\\\(7^{x})^2-6\cdot 7^{x}+5>0\\\\t=7^{x}>0\; \; \to \; \; \; t^2-6t+5>0\\\\t^2-6t+5=0\; \; \to \; \; t_1=1\; ,\; \; t_2=5\; \; (teorema\; Vieta)\\\\(t-1)(t-5)>0\qquad +++(1)---(5)+++\\\\t\in (-\infty ,1)\cup (5,+\infty )\\\\\left [ {{t5}} \right.\; \; \left [ {{7^{x}5}} \right.\; \; \left[{ {{7^{x}7^{log_75}}} \right.\; \; \left [ {{xlog_75}} \right. \\\\Otvet:\; \; x\in (-\infty ,0)\cup (log_75,+\infty )\; .$

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texf176280b215113de1b7d588e093cac48 46676

texef105cb1a3acaf273381c8a9ae9c0a26 87117

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