Question

Solve for x: log(x) + log(x+5)= 4

Answer 1

Answer:

x = (-5 + 5 $\sqrt{1601}$) / 2

Step-by-step explanation:

Answer 2

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

$x=\frac{-5 \pm\sqrt{5^2-4 \times 1 \times (-10000)} }{2 \times 1}\\=\frac{-5 \pm \sqrt{40025} }{2} \\=\frac{-5 \pm 200.06}{2} \\=\frac{195.06}{2} ,\frac{-205.06}{2}~(rejected)\\ \approx 97.51$