Решите логарифм:log2 (2x^2-14x)=4. Created by istia6. algebra-ru

Решите логарифм:log2 (2x^2-14x)=4...

July 2022 1 8 Report

Решите логарифм:
log2 (2x^2-14x)=4

Answers & Comments

Nik133 $log_2(2x^2-14x)=4 \\ \\ 2x^2-14x\geq0 \\ x^2-7x=0\\ x(x-7)=0 \\ x_1=0\ \ \ \ x_2=7 \\ x \in (-\infty; 0] \cup [7;+\infty) \\ \\ 2x^2-14x=2^4\\ x^2-7x-8=0 \\ x_1=8\ \ \ \ \ \ \ x_2=-1$

Ответ: -1; 8

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