Развяжите уравнение: lg(x+9)+lg(2x+8)=2. Created by Epolets. algebra-ru

Развяжите уравнение: lg(x+9)+lg(2x+8)=2...

August 2022 1 17 Report

Развяжите уравнение:
lg(x+9)+lg(2x+8)=2

Answers & Comments

lubovlubvasil lg(x+9)+lg(2x+8)=2
lg(x+9)(2x+8)=lg100при условии, что х+9>0, 2x+8>0
(x+9)(2x+8)=100
2x²+18x+8x+72-100=0
x²+13x-14=0
x=1, x=-14 - не удовлетворяет ОДЗ уравнения
ответ 1

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