Question

log(2x+8)+log(3x+7)=2

Answer 1

2x+8>0⇒2x>-8⇒x>-4
3x+7>0⇒3x>-7⇒x>-2 1/3
lg(2x+8)(3x+7)=2
6x²+14x+24x+56-100=0
6x²-38x-44=0
3x²-19-22=0
D=361+264=625
x1=(19-25)/6=-1
x2=(19+25)/6=7 1/3