Question

I have one more!

Logarithmc Equations

log (x) + log (x + 9) = 1

Answer 1

please help!

Answer 2

x=1

Answer 3

thank u!

Answer 4

log(x) + log(x+9) = 1
log(x(x+9)) = 1
10^log(x(x+9)) = 10^1

x^2+9x = 10

x^2 + 9x - 10 = 0
x^2+10x-1x-10 = 0
x(x+10)-1(x+10) =0
(x+10)(x-1) = 0
x = -10, x = 1

-10 is invalid, so x = 1 only