Respuesta :
Answer:x=2.7 x=-7.7
Step-by-step explanation:
Log5(x+4)+Log5(x+1)=2
Log5((x+4)(x+1))=2
Log5(x^2+x+4x+4)=2
Log5(x^2+5x+4)=2
x^2+5x+4=5^2
x^2+5x+4=25
x^2+5x+4-25=0
x^2+5x-21=0
Solving the quadratic equation we get x=2.7 and -7.7
Answer:x=2.7 x=-7.7
Step-by-step explanation:
Log5(x+4)+Log5(x+1)=2
Log5((x+4)(x+1))=2
Log5(x^2+x+4x+4)=2
Log5(x^2+5x+4)=2
x^2+5x+4=5^2
x^2+5x+4=25
x^2+5x+4-25=0
x^2+5x-21=0
Solving the quadratic equation we get x=2.7 and -7.7