Respuesta :
Answer:
x = (-5 + 5 [tex]\sqrt{1601}[/tex]) / 2
Step-by-step explanation:
Answer:
Step-by-step explanation:
log(x)+log (x+5)=4
x≥0,x≥-5
combining x≥ 0
log {x(x+5)}=4
x(x+5)=10^4
x²+5x=10000
x²+5x-10000=0
[tex]x=\frac{-5 \pm\sqrt{5^2-4 \times 1 \times (-10000)} }{2 \times 1}\\=\frac{-5 \pm \sqrt{40025} }{2} \\=\frac{-5 \pm 200.06}{2} \\=\frac{195.06}{2} ,\frac{-205.06}{2}~(rejected)\\ \approx 97.51[/tex]
