Question

Solve for x:

log(x) + log(x+5)= 4

Answer 1

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=(-5 \pm√(5^2-4 * 1 * (-10000)) )/(2 * 1)\\=(-5 \pm √(40025) )/(2) \\=(-5 \pm 200.06)/(2) \\=(195.06)/(2) ,(-205.06)/(2)~(rejected)\\ \approx 97.51`

Answer 2

x = (-5 + 5
`√(1601)`) / 2

Explanation: