lg(3x+5)=-lg2 3x+5>0
lg(3x+5)+lg2=0 3x>-5
lg((3x+5)*2)=0 x>-5/3=-1 2/3
6x+10=10^0
6x+10=1
6x=-9
x=-9/6
x=-3/2
x=-1,5 входит в область определения
Ответ: -1,5
![image](https://tex.z-dn.net/?f=1%2Blg%28x%2B1%29-lg%28x%5E2%2B7x%2B8%29%3D0%5C%5C%5C%5C+%5Cleft+%5C%7B+%7B%7Bx%2B1%3E0%7D+%5Catop+%7Bx%5E2%2B7x%2B8%3E0%7D%7D+%5Cright.+%5C%5C+%5Cleft+%5C%7B+%7B%7Bx%3E0%7D+%5Catop+%7B%28x%2B1%29%28x%2B8%29%3E0%7D%7D+%5Cright.+)
0} \atop {x^2+7x+8>0}} \right. \\ \left \{ {{x>0} \atop {(x+1)(x+8)>0}} \right. " alt="1+lg(x+1)-lg(x^2+7x+8)=0\\\\ \left \{ {{x+1>0} \atop {x^2+7x+8>0}} \right. \\ \left \{ {{x>0} \atop {(x+1)(x+8)>0}} \right. " align="absmiddle" class="latex-formula">
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Область определения : x>0
2>0
Ответ: 2